Question

Picture shown!

Answer 1

The equation of the line in slope - intercept form is $y=-3x+1$

Explanation:

From the graph, the given coordinates are $(-1,2)$ and $(1,-4)$

We need to determine the equation of the line in slope intercept form.

The equation of the line can be determined using the formula,

$y-y_1=m(x-x_1)$

First, we shall find the value of the slope.

The slope can be determined by substituting the points $(-1,2)$ and $(1,-4)$ in the slope formula, we get,

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

$m=\frac{-4-2}{1+1}$

$m=\frac{-6}{2}$

$m=-3$

Thus, the slope is $m=-3$

Now, we shall substitute the coordinate $(-1,2)$ and the slope $m=-3$ in the formula $y-y_1=m(x-x_1)$, we get,

$y-2=-3(x+1)$

$y-2=-3x-3$

     $y=-3x+1$

Thus, the equation of the line in slope intercept form is $y=-3x+1$