Question

Given that (–2, y) and (4, 6) are points on a line whose slope is-4/3 , find y.

Answer 1

The value of y is 14

Explanation:

we know that

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

we have the points

`(-2, y)\ and\ (4, 6)`

`m=-(4)/(3)`

substitute in the formula the given values

`-(4)/(3)=(6-y)/(4+2)`

solve for y

`-(4)/(3)=(6-y)/(6)`

Multiply by 6 both sides

`-8=6-y`

`y=6+8=14`