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Question 1088532: Dear Tutors can you please assist me with this problem thank you
A line with a slope of -10 passes through the points (8,-5) and (h,5). What is the value of h?
h=
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! slope is equal to (y2 - y1) / (x2 - x1)
(x1,y1) is a point on the line.
(x2,y2) is another point on the line.
assign (8,-5) to (x1,y1)
assign (h,5) to (x2,y2)
slope formula becomes (5 - (-5)) / (h - 8)
simplify to get slope = 10 / (h-8)
since slope = -10, the equation becomes -10 = 10 / (h-8)
multiply both sides of the equation by (h-8) to get -10 * (h - 8) = 10
simplify to get -10h + 80 = 10
subtract 80 from both sides of the equation to get -10h = -70
divide both sides of the equation by -10 to get h = 7
the two points are:
(x1,y1) = (8,-5)
(x2,y2) = (7,5)
(y2-y1) / (x2-x1) = 10/-1 = -10
solution looks good.
h = 7
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