Question

1. suppose a line passes through the point (0, -3) and has the slope of 2. what would be the equation of the line?

○ $y = -3x + 2$
○ $y = 2x - 3$
○ $y = 3 - 2x$
○ $y = -2x - 3$

Explanation:

Step1: Recall slope-intercept form

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

Step2: Identify given values

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

Step3: Substitute values into formula

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

Answer:

B. $y = 2x - 3$