SOLUTION: A line passes through (a,2) and (3,-5). If this line is parallel to the line containing the points (3,6) and (4,b) and perpendicular to the line containing the points (a,0) and (-5

Algebra ->  Length-and-distance -> SOLUTION: A line passes through (a,2) and (3,-5). If this line is parallel to the line containing the points (3,6) and (4,b) and perpendicular to the line containing the points (a,0) and (-5      Log On


   

Question 1148046: A line passes through (a,2) and (3,-5). If this line is parallel to the line containing the points (3,6) and (4,b) and perpendicular to the line containing the points (a,0) and (-5,b), what are the integer values of a and b?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39799) About Me  (Show Source):
You can put this solution on YOUR website!
points (3,6) and (4,b)
Slope is %28b-6%29.

points (a,0) and (-5,b)
Slope is b%2F%28-5-a%29

The first described line of your description has slope of %28-5-2%29%2F%283-a%29, or -7%2F%283-a%29.

Description gives equations, system%28-7%2F%283-a%29=b-6%2Cand%2C%28-7%2F%283-a%29%29%28b%2F%28-5-a%29%29=-1%29.
Simplify and solve the system.

Answer by MathTherapy(10810) About Me  (Show Source):
You can put this solution on YOUR website!

A line passes through (a,2) and (3,-5). If this line is parallel to the line containing the points (3,6) and (4,b) and perpendicular to the line containing the points (a,0) and (-5,b), what are the integer values of a and b?
highlight_green%28matrix%282%2C3%2C+a%2C+%22=%22%2C+2%2C+b%2C+%22=%22%2C+-+1%29%29