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In the xy- plane, the graph of which of the following equations is a line with a slope of 5?

A. 5x – y =7
B. y – -5x+7
C. y – 7 – 1/2(x–3)
D. y = 7x + 5
E. 5x + 5y =10

Respuesta :

carlosego

Answer: Option A.

Step-by-step explanation:

By definition, the equation of the line in slope-intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope of the line and b is the y-intercept.

Let's solve for y from the equation A, as following:

[tex]5x-y=7\\-y=-5x+7\\(-1)(-y)=(-5x+7)(-1)\\y=5x-7[/tex]

As you can see in the equation:

[tex]m=5\\b=7[/tex]

Therefore, the option A is the answer.

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