Find an equation in slope-intercept form (where possible) for the line.
-Through $ (13,5), \mathrm{m}=-2 $
A) $ y=-2 x+5 $
B) $ y=2 x+23 $
C) $ y=-2 x+31 $
D) $ y=2 x-31 $

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 a point $(x_1, y_1) = (13, 5)$ and a slope $m = -2$, we can use the point-slope form $y - y_1 = m(x - x_1)$ to find $b$. Substituting the given values, we get $5 = -2(13) + b$, which simplifies to $5 = -26 + b$, leading to $b = 31$. Therefore, the equation is $y = -2x + 31$.

Find an Equation in Slope-Intercept Form (Where Possible) for the Line