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Math Help - Find the slope-intercept form of the line passing through the point (7, -2) and paral

  1. #1
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    Find the slope-intercept form of the line passing through the point (7, -2) and paral

    Find the slope-intercept form of the line passing through the point (7, -2) and parallel to the line y=-8x-4?
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  2. #2
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    y-y_{1}=m(x-x_{1}) is the point-slope form of a line. I mention this one first because we are given a point on a line and told to find it's equation. All we lack is a slope.

    We are told though, that this particular line is PARALLEL to the line defined as y=-8x-4. To be parallel means that our two lines have the same slope correct? Knowing that, we have the slope of y=-8x-4 as -8 and we can then plug that back into our point-slope form of a line.

    All that is left to do at this point (no pun intended) is to put it into slope-intercept form.
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  3. #3
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    Since the line is parallel to y=-8x-4, it has the same slope.

    Now, since we have the slope m, and a point it passes through, we can solve for the y-intercept, b, and that's it.

    -2=-8(7)+b

    Solve for b and then set up the slope intercept form, y=mx+b
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