Question 410222
Suppose the line through points (-1,6) and (x,2) is perpendicular to the graph of 2x + y = 3.  Find the value of x
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Find slope of
2x + y = 3
by rearranging into the "slope-intercept" form:
2x + y = 3
y = -2x + 3
slope then, is -2
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A line perpendicular to this must have a slope that is the "negative reciprocal":
-2m = -1
m = 1/2
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slope of (-1,6) and (x,2)
(y2-y1)/(x2-x1) = 1/2
(2-(-6))/(x-(-1)) = 1/2
(2+6)/(x+1) = 1/2
8/(x+1) = 1/2
cross-multiply:
16 = x+1
15 = x