Question

Determine the missing y value if the slope of a line is 4/3 and the line passes through the points (5,x) and (2,-3)

Answer 1

x = -7

Explanation:

Given parameters:

Slope of the line =
`(4)/(3)`

Coordinates = (5,x) and (2,-3)

Unknown:

X= ?

Solution:

To find slope, use the expression below;

Slope =
`(y_(2) - y_(1) )/(x_(2) - x_(1) )`

y₂ = -3 y₁ = x

x₂ = 2 x₁ = 5

`(4)/(3)` =
`(-3 - x)/(2 - 5)`

3(-3-x) = 4(-3)

-9 -3x = 12

-3x = 21

x = -7