Question 1098190: the line with slope of 2, intersects a line with slope of 4 at (30,40). what is the distance between the x-intercepts of these lines?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! the line with slope of 2, intersects a line with slope of 4 at (30,40).
what is the distance between the x-intercepts of these lines?
:
Find the equation of each line in the form of mx + b = y
1st line, x = 30, y = 40, m = 2
2(30) + b = 40
60 + b = 40
b = 40 - 60
b = -20
The equation for line 1: y = 2x - 20
:
2nd line, x = 30, y = 40, m = 4
4(30) + b = 40
b = 40 - 120
b = -80
The equation for line 2: y = 4x - 80
:
Find the x intercept for each (occurs when y = 0)
Eq 1:
2x - 20 = 0
2x = 20
x = 10 is the intercept for the 1st equation
:
Eq2:
4x - 80 = 0
4x = 80
x = 20
Th difference between the x intercepts: 20 - 10 = 10
:
Looks like this
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