Answer:
The slope of the line is ⁵/₂.
Step-by-step 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'
[tex]\frac{4y}{4} = \frac{10x}{4} - \frac{24}{4} \\\\y = \frac{5x}{2} - 6[/tex]
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.
