Question

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

Answer 1

Answer:

y - 1 = $\frac{3}{2}$(x + 3)

Step-by-step explanation:

Calculate the slope m 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.

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

Here m = $\frac{3}{2}$ and (a, b) = (- 3, 1), thus

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

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

Answer 2

Answer:

D

Step-by-step explanation:

Ed2020