SOLUTION: Write the equation of the line which passes through the point of intersection of the lines x-2y-4 = 0 and 4x-y-4 = 0 and satisfying the additional conditions a)passes through the

Question 872789: Write the equation of the line which passes through the point of intersection of the lines x-2y-4 = 0 and 4x-y-4 = 0 and satisfying the additional conditions
a)passes through the origin
b) passes through the point (4,-6)
Can you please help me out? Thanks so much in advance:)
Answer by josgarithmetic(39626) (Show Source): You can put this solution on YOUR website!
x-2y=4
and
4x-y=4
--
[ x-2y=4 ]
[ 8x-2y=8 ]

-
Intersection point, (4/7,-12/7).

The line formed by the found point and the origin:
In this situation, y intercept is zero.
y=mx, and we can use slope formula to easily find slope; or we can see the slope from the found point.
From the origin, that point is found on the slope .
(a) Answer is .

(b) is not much harder. Just that the slope will be different, and y-intercept will not be zero but something else.
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