Question

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

Answer 1

y =
`(1)/(2)`x - 2

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 =
`(1)/(2)`x +
`(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
`(1)/(2)`

The equation of the line is

y = mx + c

let us find c;

c = y - mx

c = 0 - (
`(1)/(2)` x 4)

c = -2

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

y =
`(1)/(2)`x - 2