Question

What is the slope of a line parallel to the line whose equation is 10x – 4y = 24.

Fully reduce your answer.

Answer 1

The slope of the line is ⁵/₂.

Explanation:

Given;

equation of one of the parallel lines, 10x – 4y = 24.

let the slope of the parallel lines = m, since two parallel lines have equal slopes.

Then slope of the given equation which one of the parallel lines is calculated as;

10x – 4y = 24

4y = 10x - 24

divide through by "4'

`(4y)/(4) = (10x)/(4) - (24)/(4) \\\\y = (5x)/(2) - 6`

the slope , m is the coefficient of x, = ⁵/₂ (when compared to y = mx + c)

Therefore, the slope of the line is ⁵/₂.