Mathematics: What is the equation of the line shown in the graph? a function graph of a line with two points (-3,1) and (2,-4) with an x axis of negative five to five and a y axis of negative five to five drag and drop the expressions to write the equation of the line in slope-intercept form. y =__+__x-x-2x1-1-22x-4

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What is the equation of the line shown in the graph?

ThGlitchz

10.03.2022

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-3, 1) and (2, -4). Substitute:

$m=\dfrac{-4-1}{2-(-3)}=\dfrac{-5}{5}=-1$

Therefore we have the equation of a line

$y=-1x+b\to y=-x+b$

Put the coordinates of the point (-3, 1) to the equation:

1=-(-3)+b

1=3+b subtract 3 from both sides

$-2=b\to b=-2$

y = -x - 2

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