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

Answer:

x = -7

Step-by-step explanation:

Given parameters:

Slope of the line = $\frac{4}{3}$

 Coordinates =  (5,x) and (2,-3)

Unknown:

X= ?

Solution:

  To find slope, use the expression below;

   Slope  = $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

y₂ = -3  y₁ = x

x₂ = 2   x₁ = 5

   $\frac{4}{3}$  = $\frac{-3 - x}{2 - 5}$

           3(-3-x) = 4(-3)

            -9 -3x = 12

                -3x = 21

                  x = -7