Respuesta :

The line is parallel so it has the same slope as the other line, -4.

Substitute the x and y variables with the given points and find the y-intercept.

(-8, 6)

y = -4x + b

6 = -4(8) + b

6 = -32 + b

6 + 32 = b

38 = b

So the equation is:

y = -4 + 38

The line is parallel so it has the same slope as the other line, -4.

Substitute the x and y variables with the given points and find the y-intercept.

We have given that,

An equation of a line passing through (-8, 6) and parallel to the line y=-4x - 1

(-8, 6)

What is the slope-intercept form?

y=mx+b

Where m is the slope

y = -4x + b

6 = -4(8) + b

6 = -32 + b

6 + 32 = b

38 = b

So the equation is y = -4 + 38.

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