Question

1. a line passes through (0, -3) and has a slope of 2. what is its equation?

a. $y = -2x + 3$
b. $y = 2x - 3$
c. $y = -2x - 3$
d. $y = 2x + 3$

Explanation:

Step1: Recall slope-intercept form

The slope-intercept form is $y = mx + b$, where $m$ is slope and $b$ is y-intercept.

Step2: Identify given values

Slope $m = 2$, y-intercept $b = -3$ (since the line passes through $(0, -3)$).

Step3: Substitute values into formula

Substitute $m = 2$ and $b = -3$ into $y = mx + b$: $y = 2x - 3$.

Answer:

b. $y = 2x - 3$