Question

A line passes through the point (8, -2) and has a slope of 5/4. Write an Equation in point-slope form for this line

Answer 1

[see below]

Explanation:

General Point Slope Form is:

`y-y_1=m(x-x_1)\\\\\rightarrow \text{m - slope}\\\\\rightarrow (x_1,y_1)\text{ - given point}`

We are given the slope of (5/4) and the point of (8, -2).

Replace the variables with their appropriate values:

`x_1 \rightarrow8\\\\y_1\rightarrow-2\\\\m\rightarrow(5)/(4)\\\\\text{Replace } x_1, y_1, \text{and } m \text{ with the appropriate values.}\\\\y-y_1=m(x-x_1)\rightarrow y-(-2)=(5)/(4)(x-8)\\\\\text{Simplify:}\\\\y-(-2)=(5)/(4)(x-8)\rightarrow y+2=(5)/(4)(x-8)\\\\\\\text{Our final answer is:}\\\\ \huge\boxed{y+2=(5)/(4)(x-8)}`

Hope this helps.

Answer 2

y=5/4x-8

Explanation: