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Math Help - equations of a line

  1. #1
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    equations of a line

    please help me:
    a. find the equation of a line that passes through point (-2,-1) and is parallel to line y=1.5x-5. write the equation of the line in slope intercept form.

    b. find the equation of a line that passes through point (2,-4) and is PERPENDICILAR to the line y=2x+2. wite equation in spope intercept form.
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  2. #2
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    Quote Originally Posted by enyaz11 View Post
    please help me:
    a. find the equation of a line that passes through point (-2,-1) and is parallel to line y=1.5x-5. write the equation of the line in slope intercept form.

    b. find the equation of a line that passes through point (2,-4) and is PERPENDICILAR to the line y=2x+2. wite equation in spope intercept form.
    Hi enyaz11,

    (a) First, find the slope of the line that is going to be parallel to your line. The equation is in slope-intercept form:

    y=mx+b

    where m = slope. Therefore in your equation y=1.5x-5 the slope is 1.5.

    Use this slope (since the line parallel to your line will have the same slope) and the point (-2, -1) to find the y-intercept (b) and determine the desired equation.

    y=mx+b

    -1=1.5(-2)+b

    b=2

    \boxed{y=1.5x+2}

    (b) For this one, follow the same steps as (a) except the slope of the desired equation will be the negative reciprocal of the slope of the given equation. So, use m=-\frac{1}{2} for your slope here.
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