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Question 574378: I have to write the slope-intercept form of the equation of the line through the given point and parallel to the given line.
Point: (-9,8) Line: x+y=15
Then I have to write the slope-intercept form of the equation of the line through the given point and perpendiulat to the given line.
HELP!
Answer by scott8148(6628)   (Show Source):
You can put this solution on YOUR website! parallel means the x and y coefficients are the same, just substitute in the point to find the new constant term
(-9) + (8) = -1 ___ so the new equation is, x + y = -1
___ get the y by itself for slope-intercept ___ y = -x - 1
perpendicular means the slopes are negative reciprocals, so the slope changes from -1 to 1 ___ y = x + b
to find the b term, substitute in the point (again)
___ (8) = (-9) + b ___ 17 = b
so the perpendicular equation is ___ y = x + 17
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