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

    6 years agoPosted 6 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

    (46 votes)

    • Kim Seidel

      6 years agoPosted 6 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.

      (100 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.

    (34 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

    (15 votes)

    • Zachary Heaton

      8 months agoPosted 8 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.

      (2 votes)

  • gjp100

    3 years agoPosted 3 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

    (14 votes)

    • David Severin

      3 years agoPosted 3 years ago. Direct link to David Severin's post “If you have an equation i...”

      Graphing slope-intercept form (article) | Khan Academy (19)

      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.

      (13 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!

    (13 votes)

    • Ani V

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

      Graphing slope-intercept form (article) | Khan Academy (23)

      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!

      (10 votes)

  • Envy

    3 years agoPosted 3 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?

    (12 votes)

    • Logan.Lewis

      a year agoPosted a year ago. Direct link to Logan.Lewis's post “my teacher says yes but h...”

      my teacher says yes but he is a goober so I don't know

      (4 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.

    (8 votes)

  • mukhopadhyayaveri14

    a year agoPosted a year 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

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

      Graphing slope-intercept form (article) | Khan Academy (32)

      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

    4 years agoPosted 4 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)

  • bail380001

    a year agoPosted a year ago. Direct link to bail380001's post “what if the question is y...”

    what if the question is y=x+4

    (3 votes)

    • Kim Seidel

      a year agoPosted a year ago. Direct link to Kim Seidel's post “Remember, "x" is the same...”

      Remember, "x" is the same as "1x". So, the slope of the equation is 1 and the y-intercept is (0,4).
      Hope this helps.

      (8 votes)

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