What is the equation, in slope-intercept form, of the line parallel to -5x + y = 2 that passes through the point with coordinates (-2, 1)?

y = 5x + 11

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 )

Given

- 5x + y = 2 ( add 5x to both sides )

y = 5x + 2 ← in slope- intercept form

with slope m = 5

Parallel lines have equal slopes, then

y = 5x + c ← is the partial equation

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

1 = - 10 + c ⇒ c = 1 + 10 = 11

y = 5x + 11 ← equation of parallel line

d

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