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Question 206334: Write an equation of a line that is perpendicular to y=-2x+6 and passes through (-4,7).
Answer by mickclns(59)   (Show Source):
You can put this solution on YOUR website! If two lines are perpendicular then their slopes are negative reciprocals (that is, when they are multiplied together the result is -1) so the line you are looking for has a slope of +1/2 and passes through the point (-4,7).
Using the point-slope form of the equation we have: y-7 = (1/2)(x+4). If you need it in slope-intercept form, just solve for y and simplify.
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