Write an equation of the line that passes through (2,-1) and is parallel to the line y=-3x+8

y = - 3x + 5

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, then

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

To find c substitute (2, - 1) into the partial equation

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = - 3x + 5 ← equation of line

1 3 5

step-by-step explanation:

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