Question

an equation whose graph has a slope of $-2$ and a $y$-intercept of 3 is\\$\circ$ $y = 3x - 2$\\$\circ$ $y = -2x + 3$\\$\circ$ $x = -2y + 3$\\$\circ$ $x = 3y - 2$

Explanation:

Step1: Recall slope-intercept form

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

Step2: Substitute given values

Substitute $m=-2$ (slope) and $b=3$ (y-intercept) into the formula:
$y = -2x + 3$

Step3: Match with options

This matches option B.

Answer:

B. $y = -2x + 3$