Description
(08.01)
x + y = −2
y = 2x + 10
If the two equations are graphed, at what point do the lines representing the two equations intersect?
Explanation & Answer
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Find two points on each of these lines.
x + y = -2
If x = 0
then y = -2
If y = 0
then x = -2
x | 0 | -2 |
y | -2 | 0 |
y = 2x + 10
If x = 0
then y = 2*0 + 10 = 0 + 10 = 10
If y = 0
0 = 2x + 10
2x = -10
x = -10/2
x = -5
x | 0 | -5 |
y | 10 | 0 |
Mark these two points on the graph and join them to get the line.
Extend the two lines so that they intersect.
So, the two lines intersect at the point (-4, 2).
ANSWER: (-4, 2)
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