Question

A line has gradient 5.
M and N are two points on this line.
M is the point (x, 8) and N is the point (k, 23).
Find an expression for x in terms of k.

Pls help it’s emergency!!

Answer 1

Answer:

x = k - 3

Step-by-step explanation:

Given parameters:

  Gradient of the line = 5;

Coordinates; M(x, 8)

                       N(k, 23)

Solution:

If we use the expression for finding the slope of the line, we can solve this problem;

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

    where

    x₁ = x    y₁ = 8

    x₂ = k    y₂ = 23

Input the parameters:

       5  = $\frac{23 - 8}{k -x }$

          15 = 5(k - x)

           3= k- x

           k - x = 3

 Express x in terms of k;

          -x = 3 - k

Multiply through by -1;

          x = -3 + k

          x = k - 3