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

What is the equation in pointslope form of the line that is parallel to the given line and passes through the point 3 1 y 132x 3 y 123x 3 y 123x 3 y 132x 3 class=

Respuesta :

The equation of the line parallel to given line and passing through (-3, 1) will be y – 1 = (3/2)(x + 3). Then the correct option is D.

What is the equation of line?

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The slope of the parallel lines are equal.

m = (2 + 4) / (2 + 2)

m = 6/4

m = 3/2

Then the equation of the line will be

y = (3/2)x + c

The line is passing through (-3, 1). Then the value of c will be

1 = (3/2)(-3) + c

c = 9/2 + 1

Then the equation will be

     y = (3/2)x + 9/2 + 1

y – 1 = (3/2)(x + 3)

Then the correct option is D.

More about the equation of line link is given below.

https://brainly.com/question/21511618

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