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

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) (Show Source): You can put this solution on YOUR website!
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 =
:
m = =
:
Find the equation using the point/slope form
y - 3 = (x - (-6))
y - 3 = (x + 6)
y - 3 = x + 4.5
y = x + 4.5 + 3
y = x + 7.5
or
y = .75x + 7.5
:
Find n,
.75n + 7.5 = 5
.75n = 5 - 7.5
.75n = -2.5
n =
n = -3 when y = 5

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