Find an equation of the line that contains the given pair of points. Write the equation in the form $y=m x+b$.
-$(-7,5)$ and $(-4,-2)$
A) $y=\frac{7}{3} x-\frac{34}{3}$
B) $y=-6 x+22$
C) $y=-\frac{7}{3} x-\frac{34}{3}$
D) $y=6 x+22$

Question

Quizplus · Accepted Answer

First, calculate the slope $m$ using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$, which gives $m = \frac{-2 - 5}{-4 + 7} = -\frac{7}{3}$. Then, use one of the points to solve for $b$ in $y = mx + b$, using $(-7, 5)$ gives $5 = -\frac{7}{3}(-7) + b$, solving for $b$ gives $b = -\frac{34}{3}$. Thus, the equation is $y = -\frac{7}{3}x - \frac{34}{3}$.

Find an Equation of the Line That Contains the Given y=mx+by=m x+by=mx+b

Find an Equation of the Line That Contains the Given $y=m x+b$