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
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(36 votes)
Kim Seidel
5 years agoPosted 5 years ago. Direct link to Kim Seidel's post “Think about the fraction ...”
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.
(67 votes)
AnnalynnG
5 months agoPosted 5 months ago. Direct link to AnnalynnG's post “I dont like this”
I dont like this
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(44 votes)
B0kch0i
5 months agoPosted 5 months ago. Direct link to B0kch0i's post “me neither but we still h...”
me neither but we still have to do it
(21 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.
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(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
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(12 votes)
owen.esparza
10 months agoPosted 10 months ago. Direct link to owen.esparza's post “ligma”
ligma
(1 vote)
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!
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(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)
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
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(11 votes)
David Severin
2 years agoPosted 2 years ago. Direct link to David Severin's post “If you have an equation i...”
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.
(10 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.
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(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?
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(10 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)
mukhopadhyayaveri14
8 months agoPosted 8 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
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(4 votes)
Kim Seidel
8 months agoPosted 8 months ago. Direct link to Kim Seidel's post “Put a point at (0, -1/2)....”
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...”
What is the Slope Intercept Form of a Line? The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers. The slope, m, represents the steepness of a line.
The slope, or steepness, of a line is found by dividing the vertical change (rise) by the horizontal change (run). The formula is slope =(y₂ - y₁)/(x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the coordinates of two points on the line. Created by Sal Khan and Monterey Institute for Technology and Education.
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). The slope of a horizontal line is 0 always.
Use the slope and one of the points to solve for the y-intercept (b). One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.
Since the y-intercept always has a corresponding x-value of 0, replace x with 0 in the equation and solve for y. On a graph, the y-intercept can be found by finding the value of y when x=0.
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.
Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept). We can rewrite an equation in point-slope form to be in slope-intercept form y=mx+b, to highlight the same line's slope and y-intercept.
Details: To change the equation into slope-intercept form, write it in the form y = m x + b . You want to isolate the y, so the first step is to multiply both sides by 9. Then cancel out the 9's on the right side.
An intercept dummy refers to a dummy variable that shifts the constant term, whereas a slope dummy is a dummy variable that adjusts the connection between y and x. It is known as the interaction variable as it expresses the interaction consequence of size and location on a house price.
The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Move all terms not containing y to the right side of the equation.
The slope, or steepness, of a line is found by dividing the vertical change (rise) by the horizontal change (run). The formula is slope =(y₂ - y₁)/(x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the coordinates of two points on the line.
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