Use the formula for slope to find the value of y such that the line through the points (-2,2) and (1,y) has slope of m=$- \frac { 8 } { 3 }$ .
A) y=-2
B) y=2
C) y=6
D) y=5
E) $y = - 6$

Question

Quizplus · Accepted Answer

The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Substituting the given values, we get $-\frac{8}{3} = \frac{y - 2}{1 - (-2)}$. Simplifying, $-\frac{8}{3} = \frac{y - 2}{3}$. Multiplying both sides by 3, we get $-8 = y - 2$. Adding 2 to both sides gives $y = -6$.

Use the Formula for Slope to Find the Value of Y