SOLUTION: Find a real number, n , such that the line containing the points (-6,3) and (-2,6) contains the point (n,5)

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Question 360818: Find a real number, n , such that the line containing the points (-6,3) and (-2,6) contains the point (n,5)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Find a real number, n , such that the line containing the points (-6,3)
and (-2,6) contains the point (n,5)
;
Find the slope of the given points, where:
x1=-6; y1=3
x2=-2; y2=6
:
slope m = %28y2-y1%29%2F%28x2-x1%29
:
m = %286-3%29%2F%28-2-%28-6%29%29 = 3%2F4
:
Find the equation using the point/slope form
y - 3 = 3%2F4(x - (-6))
y - 3 = 3%2F4(x + 6)
y - 3 = 3%2F4x + 4.5
y = 3%2F4x + 4.5 + 3
y = 3%2F4x + 7.5
or
y = .75x + 7.5
:
Find n,
.75n + 7.5 = 5
.75n = 5 - 7.5
.75n = -2.5
n = -2.5%2F.75
n = -31%2F3 when y = 5