Question

Find the slope of the line. Write your answer in simplest form. y 5 |(-2,5) |(2, 0) 1 2 3 .

Answer 1

The given points are (-2,5) and (2,0).

Let's use the slope formula.

$m=\frac{y_2-y_1_{}}{x_2-x_1}_{}$

Let's replace the points.

$m=\frac{0-5}{2-(-2)}=-\frac{5}{4}$

Then, we use the point-slope formula to find the equation of the line.

$\begin{gathered} y-y_1=m(x-x_1) \\ y-0=-\frac{5}{4}(x-2) \\ y=-\frac{5}{4}x+\frac{5}{2} \end{gathered}$

Hence, the equation of the line is

$y=-\frac{5}{4}x+\frac{5}{2}$