Question

On a coordinate plane, a line goes through (negative 2, negative 4) and (2, 2). A point is at (negative 3, 1).
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)?

y – 1=Negative three-halves(x + 3)
y – 1=Negative two-thirds(x + 3)
y – 1= Two-thirds(x + 3)
y – 1= Three-halves(x + 3)

Answer 1

Answer:

y – 1= Three-halves(x + 3)

Step-by-step explanation:

line goes through  (-2, -4) and (2, 2)

goes through (-3, 1)

slope =  (-4 - 2) / (-2 -2)  = -6/-4 = 3/2

1 =  (3/2)*-3 + b

1 = -9/2 + b

b = 1 + 9/2 = 11/2 = 5.5

y = (3/2)*x + 11/2

(y - 1) = (3/2)(x + 3)

Answer 2

The line goes through  (-2, -4) and (2, 2)

goes through (-3, 1)

If slope = (-4 - 2) / (-2 -2)  = -6/-4 = 3/

1 =  (3/2)*-3 + b

1 = -9/2 + b

b = 1 + 9/2 = 11/2 = 5.5

y = (3/2)*x + 11/2

(y - 1) = (3/2)(x + 3)

So the correct answer is option d. y – 1= Three-halves(x + 3).

What are coordinates planes?

A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).

What are the 4 coordinate planes?

• Quadrant I: positive x and positive y.
• Quadrant II: negative x and positive y.
• Quadrant III: negative x and negative y.
• Quadrant IV: positive x and negative y.

Learn more about coordinates planes here: https://brainly.com/question/13854649

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