Write an equation parallel to y=-3x-2 through the point (3, -5)

y = -3x + 4

Step-by-step explanation:

I graphed the equation and the point given on the graph below. The other line is the equation that is parallel.

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y = - 3x + 4

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 - 2 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus

y = - 3x + c ← is the partial equation

To find c substitute (3, - 5) into the partial equation

- 5 = - 9 + c ⇒ c = - 5 + 9 = 4

y = - 3x + 4  ← equation of parallel line

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step-by-step explanation:

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