Question 1110231: The system of equations is graphed on the coordinate plane.
y=−1/2x−1
y=1/4x−4
A graph with a blue line passing through coordinates (0, -4) and (4, -3) and a red line passing through coordinates (0, -1) and (4, -3).
Enter the coordinates of the solution to the system of equations in the boxes.
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Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Both the blue and the red lines have the same point; namely (4, -3), so that is the answer unless they are the same line, which they can't be.
Algebraically, one can find the equation of each.
The second part first pair has slope -3-(-4) divided by 4-0 or 1/4
the equation uses point slope formula y-y1=m(x-x1), (x1, y1) point and m slope.
y+4=(1/4)x
y=(1/4)x-4
Similarly slope red coordinates is -3-(-1) divided by 4 or -2/4 or -1/2
y+1=(-1/2)x
y=(-1/2)x-1
Solution is where the two are equal
(1/4)x-4=(-1/2)x-1
(3/4)x=3
x=4
and y=-3
(4, -3)
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