Pls answer! I'll do anythhing. Im failing :)

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Jstylez9712

15.02.2021

Mathematics

The equation of the line (in slope-intercept form) is $y=\frac{1}{3}x-4$

Step-by-step explanation:

We need two points to figure out the equation of the line given in the graph.

The two points we choose are (0,-4) and (3,-3) (we can choose any 2 points on the line)

The formula we are going to use to find the equation of this line is shown below:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Where

is the first point, and (x_2,y_2)

is the second point

Plugging in the points noted above into the formula gives us:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y-(-4)=\frac{-3-(-4)}{3-0}(x-0)\\y+4=\frac{-3+4}{3}(x)\\y+4=\frac{1}{3}x\\y=\frac{1}{3}x-4$

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