Find the value of y so that the slope of the line between the points ( $$( - 1 , - 2 ) \text { and } ( 5 , y ) \text { is } \frac { 1 } { 2 }$$
A) y = -12
B) y = 12
C) y = 1
D) y = -1

Question

Quizplus · Accepted Answer

The slope of a line through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $\frac{y_2 - y_1}{x_2 - x_1}$. Here, we have $(x_1, y_1) = (-1, -2)$ and $(x_2, y_2) = (5, y)$, and the slope is $\frac{1}{2}$. Plugging in the values, we get $\frac{y - (-2)}{5 - (-1)} = \frac{1}{2}$, which simplifies to $\frac{y + 2}{6} = \frac{1}{2}$. Solving for $y$, we get $y + 2 = 3$, so $y = 1$.

Find the Value of Y So That the Slope of the Line