Use the given conditions to write an equation for the line in slope-intercept form.
-Slope $= - 2$, passing through $( 3,8 )$
A) $y = - 2 x + 14$
B) $y = - 2 x - 14$
C) $y - 8 = - 2 x - 3$
D) $y - 8 = x - 3$

Question

Quizplus · Accepted Answer

The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Given the slope $m = -2$ and a point $(3,8)$, we can use the point-slope form $y - y_1 = m(x - x_1)$ to find the equation: $y - 8 = -2(x - 3)$. Simplifying, $y - 8 = -2x + 6$, and then $y = -2x + 14$.

Use the Given Conditions to Write an Equation for the Line