Question

The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y - 3 = 1/2 (x - 1). What is the slope-intercept for of the equation for this line?

A.) y = 1/2x + 2

B.) y = 1/2x - 4

C.) y = 1/2x + 5/2

D.) y = 1/2x - 7/2

PLEASE HELP!!!!!!!!!!!

Answer 1

C

Explanation:

To convert from point-slope form to slope-intercept form, we can simplify and isolate the y.

We have the equation:

`\displaystyle y-3=(1)/(2)(x-1)`

Distribute the right-hand side:

`\displaystyle y-3=(1)/(2)x-(1)/(2)`

Add 3 to both sides:

`\begin{aligned} \displaystyle y&=(1)/(2)x-(1)/(2)+3\\\\&=(1)/(2)x-(1)/(2)+(6)/(2)\\\\&=(1)/(2)x+(5)/(2)\end{aligned}`

Our answer is C.