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"In coordinate geometry, the y-intercept is the y-value of the point where the graph of a function or relation intercepts the y-axis of the coordinate system."

The y-axis (the vertical axis) is at x=0. So to find the value of y=4x-7 at the y-axis, calculate y=4*0-7=-7. The y intercept of y=4x-7 is -7.

In any equation in the slope-intercept form (y=mx+b) like that one, the y intercept is b (in the case -7), and the slope is m (in this case, 4). (Note that m and b can be positive, negative, or zero, so it might look more like mx-b, as it does in your case, but this is just the same as mx+(-7).)

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Q: What is the y intercept of y equals 4x-7?
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