Find an equation in slope-intercept form (where possible) for the line.
-Through $ (5,5), \mathrm{m}=-\frac{2}{7} $
A) $ y=-\frac{2}{7} x+\frac{45}{7} $
B) $ y=-\frac{2}{7} x+\frac{10}{7} $
C) $ y=\frac{2}{7} x+\frac{10}{7} $
D) $ y=\frac{2}{7} x-\frac{45}{7} $

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 $m = -\frac{2}{7}$ and a point $(5,5)$, we can substitute these values into the slope-intercept form to find $b$. Substituting $x = 5$, $y = 5$, and $m = -\frac{2}{7}$ gives $5 = -\frac{2}{7}(5) + b$, solving for $b$ gives $b = \frac{45}{7}$. Therefore, the equation is $y = -\frac{2}{7}x + \frac{45}{7}$.

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