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Question 115695: parallel to the line 5x-6y=-1; x-intercept=4
Answer by HyperBrain(694)   (Show Source):
You can put this solution on YOUR website! To know the slope of the line 5x-6y=-1, let's 'convert' this to slope-intercept form y=mx+b
where m is the slope and b is the y-intercept
5x-6y=-1
-6y=-5x-1
6y=5x+1
y=5x/6+1/6
Thus, the slope of the given line and the unknown line must be 5/6
But, it has an x-intercept of 4 . That means that it passes through (4,0)
y=mx+b
GIVen: m=5/6, x=4, y=0
0=(5/6)(4)+b
0=10/3+b
b=-10/3
Substituting,
y=mx+b
y=5x/6-10/3
Multiply both sides by 6
6y=5x-20
The equation of the line is 5x-6y-20=0
Power up,
HyperBrain!
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