8. write an equation for the line that is parallel to the given line and that passes through the given point.
y = 3x - 8; (-6, -17)

y = 3x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 8 ← is in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes, hence

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (- 6, - 17 ) into the partial equation

- 17 = - 18 + c ⇒ c = - 17 + 18 = 1

y = 3x + 1 ← equation in slope- intercept form

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step-by-step explanation:

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step-by-step explanation:

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