Respuesta :

Answer:

y= 5x-3

Step-by-step explanation:

It works with the y=mx+b form. 5 is slope so it is m, and when u do 5(2)=10. In order to get to 7 u must subtract 3, so the answer is y=5x-3! Ur welcome!

The equation of the line that has a slope of 5 and goes through the point (2,7) is y-5x = -3

The formula for calculating the equation of a line in point-slope form is expressed as:

[tex]y-y_1 = m(x-x_1)[/tex]

m is the slope of the line

(x1, y1) is any point on the line

Given the following parameters

m =5

(x1, y1) = (2, 7)

Substitute the parameters into the given formula;

y - 7 = 5(x - 2)

y - 7 = 5x - 10

y - 5x = -10 + 7

y - 5x = -3

Hence the equation of the line that has a slope of 5 and goes through the point (2,7) is y-5x = -3

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