Graphing slope-intercept form (article) | Khan Academy (2024)

Learn how to graph lines whose equations are given in the slope-intercept form y=mx+b.

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  • 682060

    5 years agoPosted 5 years ago. Direct link to 682060's post “How come if the negative ...”

    How come if the negative sign is next to the fraction it causes the rise to be negative but not the run

    (41 votes)

    • Kim Seidel

      5 years agoPosted 5 years ago. Direct link to Kim Seidel's post “Think about the fraction ...”

      Graphing slope-intercept form (article) | Khan Academy (4)

      Graphing slope-intercept form (article) | Khan Academy (5)

      Graphing slope-intercept form (article) | Khan Academy (6)

      Think about the fraction as division... How do you get a negative number when dividing:
      a negative divided by a positive = a negative
      a positive divided by a negative = a negative

      As you can see, only one of the 2 numbers can be negative. Thus, for a slope like -4/5, you can apply the negative sign to the numerator which would tell you to go down 4 units, then right 5 units. Or, you can apply the negative to the denominator which would make you go up 4 units and left 5 units.

      If you make both numbers negative, then you are doing: negative divided by negative = positive. And, you would have a positive slope.

      Hope this helps.

      (80 votes)

  • AnnalynnG

    7 months agoPosted 7 months ago. Direct link to AnnalynnG's post “I dont like this”

    I dont like this

    (48 votes)

    • B0kch0i

      7 months agoPosted 7 months ago. Direct link to B0kch0i's post “me neither but we still h...”

      Graphing slope-intercept form (article) | Khan Academy (10)

      Graphing slope-intercept form (article) | Khan Academy (11)

      me neither but we still have to do it

      (27 votes)

  • wesley jones

    6 years agoPosted 6 years ago. Direct link to wesley jones's post “i don't really get it why...”

    i don't really get it why in the last exercise the slope is -3/2 you ad plus 2 for the change in x but minus 3 for the change in y.

    (32 votes)

    • Neilshet

      4 years agoPosted 4 years ago. Direct link to Neilshet's post “Because -3/2 is basically...”

      Because -3/2 is basically equal to minus 3 by PLUS 2

      (4 votes)

  • 20nlion

    4 years agoPosted 4 years ago. Direct link to 20nlion's post “im having some trouble......”

    im having some trouble... anybody have some helpful tips hehehe

    (13 votes)

    • Zachary Heaton

      5 months agoPosted 5 months ago. Direct link to Zachary Heaton's post “place you first point on ...”

      place you first point on the y axis +/-. Then turn the slope into a fraction.
      Slope: The positive or negative sign determine if the line goes up or down from the y intercept. Based on that, going left to right, if it is a negative travel down the numerator, travel right the denominator.

      Y=27/3x+1 Place first point on y axis at positive 1. Then travel up 27, then go right 3. Simplified, you would go up 9, and right 1.

      (1 vote)

  • gjp100

    2 years agoPosted 2 years ago. Direct link to gjp100's post “I don't have a clue on ho...”

    I don't have a clue on how to do this

    (13 votes)

    • David Severin

      2 years agoPosted 2 years ago. Direct link to David Severin's post “If you have an equation i...”

      Graphing slope-intercept form (article) | Khan Academy (21)

      If you have an equation in slope-intercept form, you know both a point (the y intercept) and the slope, so it should be relatively easy to graph especially with a little practice. So if you have y=3x-4, the slope is 3=3/1, the y intercept is (0,-4). We can plot the point by starting at the origin and counting down 4 to get to (0,-4) and put a dot at this point. With a slope of rise (up) 3 over run (right) 1, you get to (0+1,-4+3) which is (1,-1), and a second time (1+1,-1+3) which is (2,2) and you have three points to draw a line through. One more example, if you have y=-3/4x + 2, you have a point (0,2) and a slope of -3/4 (rise down 3 right 4). This gives a second point of (0+4,2-3) or (4,-1) and (4+4,-1-3) or (8,-4) to draw a line. So start with the y intercept, and count the slope from that point.

      (11 votes)

  • Devss

    3 years agoPosted 3 years ago. Direct link to Devss's post “How do I graph a line if ...”

    How do I graph a line if the slope isn't provided? Here is what I mean:

    y=-x+6

    How do I graph it if I do not know the slope? Thanks!

    (12 votes)

    • Ani V

      3 years agoPosted 3 years ago. Direct link to Ani V's post “When a variable doesn't h...”

      When a variable doesn't have a variable, it's safe to assume the variable is 1. So, -x would be -1x or -1/1x.
      Hope that makes sense!

      (9 votes)

  • Envy

    2 years agoPosted 2 years ago. Direct link to Envy's post “Not to be that person but...”

    Not to be that person but like When am I reallyyyyyyyyyyyy going to use this in everyday life?

    (11 votes)

    • David Severin

      2 years agoPosted 2 years ago. Direct link to David Severin's post “That all depends on what ...”

      That all depends on what your choice of careers is. Many fields of Math, science, construction, business, finance, etc. use graphs.

      (2 votes)

  • wesley jones

    6 years agoPosted 6 years ago. Direct link to wesley jones's post “i don't really get it why...”

    i don't really get it why in the last exercise the slope is -3/2 you ad plus 2 for the change in x but minus 3 for the change in y.

    (9 votes)

  • mukhopadhyayaveri14

    10 months agoPosted 10 months ago. Direct link to mukhopadhyayaveri14's post “I can't understand how to...”

    I can't understand how to graph an equation with a fraction y-intercept. Ex: y=2x-1/2

    (4 votes)

    • Kim Seidel

      10 months agoPosted 10 months ago. Direct link to Kim Seidel's post “Put a point at (0, -1/2)....”

      Graphing slope-intercept form (article) | Khan Academy (33)

      Put a point at (0, -1/2). It is half-way between 0 and -1.
      Since the slope is 2, you move up 2 units and right 1.
      -- Up 1 unit takes you to 1/2, up 2 units takes you to 1 1/2 (halfway between 1 and 2).
      -- Then, go right 1 unit. You should now be at the point 1 1/2, 1)

      Hope this helps.

      (10 votes)

  • 2024oshiroc

    3 years agoPosted 3 years ago. Direct link to 2024oshiroc's post “brah can sum1 help me I n...”

    brah can sum1 help me I no understand um, Mahaloz

    (7 votes)

Graphing slope-intercept form (article) | Khan Academy (2024)

FAQs

How do you graph slope-intercept form? ›

Graphing a Line Using the Slope and Y-Intercept
  1. Find the y-intercept = b of the equation y = mx + b.
  2. Plot the y-intercept. The point will be (0, b).
  3. Find the slope=m of the equation y = mx + b.
  4. Make a single step, using the rise and run from the slope. ...
  5. Connect those two points with your line.

How do you write slope-intercept form? ›

Learn how to write an equation in slope-intercept form (y=mx+b) for the line with a slope of -3/4 that goes through the point (0,8). We identify the slope (m) and y-intercept (b) to create our equation y = (-3/4)*x + 8.

What is an example of a slope and y-intercept? ›

For example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.

How do you find the slope and intercept? ›

In an equation in slope-intercept form (y=mx+b) the slope is m and the y-intercept is b. We can also rewrite certain equations to look more like slope-intercept form. For example, y=x can be rewritten as y=1x+0, so its slope is 1 and its y-intercept is 0.

What is the slope-intercept form for beginners? ›

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = − 3 x + 5 , we see that the slope of the line is − 3 .

What is an example of slope-intercept form in algebra? ›

Given: the line's slope is m = 1/7. The line's y-intercept is (0, b) = (0, -9) b = -9. The equation of the given line is calculated using the slope-intercept formula. Answer: The given line's equation is y = (1/7) x – 9.

What is the answer to slope y-intercept? ›

The equation for slope-intercept form is: y=mx+b In this form, m is the slope of the line and the b is the y-intercept.

Is slope and y-intercept the same? ›

The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.

What does a standard form equation look like? ›

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form.

What does M stand for in slope formula? ›

m is the slope of the line (change in y/change in x) and b is the y intercept of the line (where the line crosses the y axis).

What letter represents slope? ›

The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run. The slope of a line is usually represented by the letter m.

How do you write the intercept of a graph? ›

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

What is the formula for the slope of a graph? ›

The slope from graph can be calculated by picking any two points on it and applying the formula rise/run. It can be also found by picking two points and applying the formula (y₂ - y₁) / (x₂ - x₁).

How do you plot an equation on a graph? ›

To graph an equation using the slope and y-intercept, 1) Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). 2) Next, plot the y-intercept. 3) From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.

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