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Question 1 (1 pointWrite the equation of a line passing through the given point and parallel to the grenequationWrite your answer in slope intercept form.(-4,4 5+2 = -8MathMLXBlank 1:Question 2 (1 point

Question 1 (1 pointWrite the equation of a line passing through the given point and-example-1
User Mikala
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5.3k points

1 Answer

4 votes

(-4,4)

5x+2y=-8

First, write the equation in slope-intercept form:

y=mx+b

Where:

m= slope

b= y-intercept

2y=-5x-8

y= (-5x-8)/2

y= -5/2x-4

m= -5/2

Parallel lines have the same slope.

So far we have:

y=-5/2x+b

Replace (x,t) by the given point and solve for b_:

4=-5/2(-4)+b

4 = 10+b

4-10 = b

b= -6

Equation:

y=-5/2x-6

User Scott Duncan
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4.9k points