Find the equation of the line parallel to H passes through (-4,2)

y = x +

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 )

Calculate the slope m of H using the slope formula

m =

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (3, - 2) ← 2 points on the line

m = =

Parallel lines have equal slopes, thus

y = x + c ← is the partial equation

To find c substitute (- 4, 2) into the partial equation

2 = - + c ⇒ c = 2 + =

y = x + ← equation of parallel line

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step-by-step explanation: