Question

through: (2, -5) and (0, 1) write the linear equation in y = mx + b form using the given points. y = 3x - 1; y = -2x + 1; y = 2x + 1; y = -3x + 1

Explanation:

Step1: Find slope $m$

The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$. Using points $(2, -5)$ and $(0, 1)$:
$m=\frac{1-(-5)}{0-2}=\frac{6}{-2}=-3$

Step2: Find y-intercept $b$

The point $(0,1)$ is the y-intercept, so $b=1$.

Step3: Build the equation

Substitute $m=-3$ and $b=1$ into $y=mx+b$.
$y=-3x+1$

Answer:

D. $y = -3x + 1$