Question

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 of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step2: Identify given values

The line passes through $(0, -3)$, so the y-intercept $b = -3$. The slope $m = 2$.

Step3: Substitute values into the formula

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

Answer:

c. $y = 2x - 3$