Use the given conditions to write an equation for the line in slope-intercept form.
-Slope $= - 3$, passing through $( - 2,2 )$
A) $y = - 3 x - 4$
B) $y = - 3 x + 4$
C) $y - 2 = - 3 x + 2$
D) $y - 2 = x + 2$

Question

Quizplus · Accepted Answer

The slope-intercept form of a line is $y = mx + b$. Given the slope $m = -3$ and the point $(-2, 2)$, substitute into the equation to find $b$: $2 = -3(-2) + b$, which simplifies to $b = -4$. Thus, the equation is $y = -3x - 4$.

Use the Given Conditions to Write an Equation for the Line