SOLUTION: The points (3, h) and (7,5) lie on a line with slope 6. Find the missing coordinate h

Algebra ->  Points-lines-and-rays -> SOLUTION: The points (3, h) and (7,5) lie on a line with slope 6. Find the missing coordinate h      Log On


   



Question 938262: The points (3, h) and (7,5) lie on a line with slope 6. Find the missing coordinate h
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
You get slope m by subtracting your first y coordinate by your second y+coordinate, and putting that over your first+x coordinate subtracted from your second x coordinate.
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 ...
given the points
(x%5B1%5D, y%5B1%5D=h) = (3, h) and
(x%5B2%5D, y%5B2%5D) =(7,5})
and a slope m=6
so,
6=%285-h%29%2F%287-3%29...solve for h
6%287-3%29=%285-h%29
42-18=5-h
24=5-h
h=5-24
h=-19
so, the point is (3, -19)
now to check our work, we can find equation of this line with a slope m=6 and passing through one of the given points; let use this one (3, -19)

+y=mx%2B%28y%5B1%5D-mx%5B1%5D%29
+y=6x%2B%28-19-6%2A3%29
+y=6x%2B%28-19-18%29
+y=6x-37

let check if both points lie on this line: