Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
(-6, - 8); y= - 3x + 3
write an equation for the line in slope-intercept form
(simplify your answer. use integers or fractions for any numbers in the equation.)

The Answer is: y = -3x - 26

Step-by-step explanation:

Given point: (-6, -8)

Given equation:

y = -3x + 3, the slope m = -3

A parallel line has the same slope, m = 3. Use the point slope form and substitute in the point and the slope:

y - y1 = m(x - x1)

y - (-8) = -3(x - (-6))

y + 8 = -3x - 18

y = -3x - 18 - 8

y = -3x - 26

Proof - use the point (-6, -8):

f(x) = -3x -26

f(-6) = -3(-6) - 26

= 18 - 26 = -8, giving (-6, -8)

step-by-step explanation:

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