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Finding the y-intercept

Q: The equation of a line is y=2x -7. What is the y-intercept?

A: It is easy enough to simply compare the equation to the standard form, y=mx+b, and see that b = -7.

However, the general way to find the y-intercept is to set x=0, and solve for y.

y = 2(0) – 7
y = 0 – 7
y = -7

Either way you do it, the y-intercept is -7. This is the location where the line crosses the y-axis.