The y-intercept of the graph of y + 5 = −7(x + 5) in the xy-plane is (0, y). What is the value of y?
Question
The y-intercept of the graph of y + 5 = −7(x + 5) in the xy-plane is (0, y). What is the value of y?
Solution
The y-intercept of a graph is the point where the line crosses the y-axis. This happens when x = 0.
So, to find the y-intercept, we substitute x = 0 into the equation:
y + 5 = -7(0 + 5)
Solving this gives:
y + 5 = -7 * 5 y + 5 = -35 y = -35 - 5 y = -40
So, the y-intercept is (0, -40). Therefore, the value of y is -40.
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