SOLUTION: the line whose x-intercept is the same as 2x + y = 4 and is perpendicular to 6x + 2y = -10

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Question 768556: the line whose x-intercept is the same as 2x + y = 4 and is perpendicular to 6x + 2y = -10
Answer by mathslover(157) About Me  (Show Source):
You can put this solution on YOUR website!
x intercept is same as the line 2x+ y=4.
For x-intercept, y=0
Substituting , this in the above equation,
2x +0=4
x=2
(2,0) is the x-intercept.
The line is perpendicular to 6x+ 2y=-10
or 2y= -6x -10
or y=-3x -5.
Slope of the line is -3 ( y=mx +c where m is the slope)
Slope of line perpendicular to this line be m
m* -3 = -1
or m=1%2F3
there eqn of line the passes thru (2,0) and slope 1%2F3
y-0 = 1%2F3(x-2)
3y=x-2
or x- 3y =2