To find the intersection point of the graphs of the given linear equations, we need to solve the system of equations.
The given equations are:
y = -x + 7
y = 4x - 3
Setting the equations equal to each other, we have:
-x + 7 = 4x - 3
Adding x to both sides, we get:
7 = 5x - 3
Adding 3 to both sides, we get:
10 = 5x
Dividing both sides by 5, we get:
x = 2
Substituting this value of x back into either of the original equations, we can find the corresponding value of y. Using the first equation:
y = -x + 7
y = -(2) + 7
y = 5
Therefore, the intersection point of the graphs is (2, 5).
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