SOLUTION: The line passing through (x,4) and (4,-5) is perpendicular to a line with a slope of -7/3. What is the value of x?
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Question 390729: The line passing through (x,4) and (4,-5) is perpendicular to a line with a slope of -7/3. What is the value of x?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The line passing through (x,4) and (4,-5) is perpendicular to a line with a slope of -7/3.
What is the value of x?
;
Find the slope of the line perpendicular to slope of -7/3 using: m1*m2 = -1
Let m1 = -7/3, find m2
*m2 = -1
m2 = *-1
m2 =
:
Use the slope formula = m2
Using the given values
=
:
=
Cross multiply
3(4-x) = -9*7
12 - 3x = -63
-3x = -63 - 12
-3x = -75
x =
x = +25
:
:
Check this by finding the slope using x=25
=
=
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