Which equation represents a line that has a slope of 4 and passes through the point (3, -8)?

Solution:

Given, slope m = 4

Point (3, -8)

We have to find the equation of a line.

The equation of a line passing through a given point is given by

\((y-y_{1})=m(x-x_{1})\)

Substituting the values

\(\\(y-(-8))=4(x-3)\\(y+8)=4(x-3)\)

y + 8 = 4x - 12

On rearranging

y = 4x - 12 - 8

So we get

y = 4x - 20

Therefore, the equation of a line is y = 4x - 20.

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Which equation represents a line that has a slope of 4 and passes through the point (3, -8)?

Summary:

The equation of a line that has a slope of 4 and passes through the point (3, -8) is y = 4x - 20.