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vlada-n [284]
3 years ago
8

what is the equation in slope form of the line that is parallel to the given line and passes through the point (-3,1)​

Mathematics
1 answer:
viktelen [127]3 years ago
6 0

Answer:

D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate the slope of the given line using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line

m = \frac{2+4}{2+2} = \frac{6}{4} = \frac{3}{2}

Parallel lines have equal slopes and using (a, b) = (- 3, 1), then

y - 1 = \frac{3}{2}(x - (- 3)), that is

y - 1 = \frac{3}{2}(x + 3) ← in point- slope form

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