Question

through: (-2, 3) and (0, 2) write the linear equation in y = mx + b form using the given points. y = 2x - 1; y = -2x + 1; y = -1/2x + 2; y = 1/2x - 2

Explanation:

Step1: Find slope $m$

Use slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
Let $(x_1,y_1)=(-2,3)$ and $(x_2,y_2)=(0,2)$.
$m=\frac{2-3}{0-(-2)}=\frac{-1}{2}=-\frac{1}{2}$

Step2: Identify y-intercept $b$

The point $(0,2)$ is the y-intercept, so $b=2$.

Step3: Build the equation

Substitute $m=-\frac{1}{2}$ and $b=2$ into $y=mx+b$.
$y=-\frac{1}{2}x+2$

Answer:

C. $y = -1/2x + 2$