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

Answer:

C

Step-by-step explanation:

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

We have the equation:

$\displaystyle y-3=\frac{1}{2}(x-1)$

Distribute the right-hand side:

$\displaystyle y-3=\frac{1}{2}x-\frac{1}{2}$

Add 3 to both sides:

$\begin{aligned} \displaystyle y&=\frac{1}{2}x-\frac{1}{2}+3\\\\&=\frac{1}{2}x-\frac{1}{2}+\frac{6}{2}\\\\&=\frac{1}{2}x+\frac{5}{2}\end{aligned}$

Our answer is C.