Question

1. the graph of a linear equation has a slope of -2 and passes through point (-4, 3). what is the equation of the line? y = -2x + 2 y = -2x + 5 y = -2x - 2 y = -2x - 5 clear all

Explanation:

Step1: Use slope-intercept form

$y = mx + b$, $m=-2$, so $y=-2x + b$

Step2: Substitute point (-4,3)

$3 = -2(-4) + b$ → $3 = 8 + b$

Step3: Solve for b

$b = 3 - 8 = -5$

Step4: Form equation

$y = -2x -5$

Answer:

D. $y = -2x -5$