Question

write an equation of a line passing through point p(4, 0) that is parallel to the line -x+2y=12​

Answer 1

Answer:

y  = $\frac{1}{2}$x - 2

Step-by-step explanation:

Given parameters:

    Coordinates = p(4,0)

  Equation of the line   -x+2y=12​

Solution:

A line parallel to the given line will have the same slope as it is;

     -x+2y=12​

          2y = x + 12

            y = $\frac{1}{2}$x + $\frac{12}{2}$

 Since this conforms to y = mx + c where;

    x and y are the coordinates

    m is the slope

   c is the intercept

Our slope is $\frac{1}{2}$

The equation of the line is

      y = mx + c

let us find c;

     c  = y - mx

     c = 0 - ($\frac{1}{2}$ x 4)

     c = -2

Now the equation of the line parallel to the line given is;

     y  = $\frac{1}{2}$x - 2