The equation of line CD is y = -2x – 2. What is the equation of a line parallel to line CD in slope-intercept form that contains poin

Question

The equation of line CD is y = -2x – 2. What is the equation of a line parallel to line CD in slope-intercept form that contains point (4,5)?

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Sophia 2 weeks 2021-09-09T11:10:42+00:00 2 Answers 0

Answers ( )

    0
    2021-09-09T11:12:14+00:00

    Answer:

    y = -2x+13

    Step-by-step explanation:

    The slope of the original line is -2 so you take that and plug it in with the points (4,5) in point slope form to get y-5 = -2(x-4), then you simplify to get      y-5 = -2x+8 then y = -2x+13

    0
    2021-09-09T11:12:25+00:00

    Answer:

    y=-2x+13

    Step-by-step explanation:

    Slope-intercept form of a line is y=mx+b where m is slope and b is y-intercept.

    The slope of y=-2x-2 is -2 since m=-2.

    A line that is parallel to the given line is going to have the same slope.

    So we already know the equation we are looking for should be in the form y=-2x+b.

    We just to need to find b.

    We can use the given point on our line do that.

    5=-2(4)+b

    5=-8+b

    8+5=b

    13=b

    So the equation is y=-2x+13.

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