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


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Sagot :

onyebuchinnaji

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.

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