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=(0-5)/(2-(-2))=-(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=-(5)/(4)(x-2) \\ y=-(5)/(4)x+(5)/(2) \end{gathered}`

Hence, the equation of the line is

`y=-(5)/(4)x+(5)/(2)`