Question

Determine the value of y so that the slope of the line between (2,7) and (-4,y) is 1/2

Answer 1

We have two points: (2,7) and (-4,y).

We have to find the value of y so that the line that passes through both points is m = 1/2.

We can define a slope that passes through two points (x1,y1) and (x2,y2) as:

`m=(y_2-y_1)/(x_2-x_1)=(y-7)/(-4-2)=(y-7)/(-6)`

As the slope is m = 1/2 we can find the value of y as:

`\begin{gathered} m=(1)/(2) \\ (y-7)/(-6)=(1)/(2) \\ y-7=-(6)/(2) \\ y-7=-3 \\ y=-3+7 \\ y=4 \end{gathered}`

Answer: y = 4