It means wherever your "y-value" is when x=0 also called the Y-intercept
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If you mean y = 23x-7 then the slope is 23 and the y intercept is -7
If you mean: y=3x-4 and the point (2, 1) then the perpendicular equation is 3y=-x+5
If you mean: slope of -13 and point of (5, 7) then the equation is y = -13x+72
If you mean slope of -10 and point of (1, 4) then the equation is y = -10x+14
This means that the function has reached a local maximum or minimum. Since the graph of the derivative crosses the x-axis, then this means the derivative is zero at the point of intersection. When a derivative is equal to zero then the function has reached a "flat" spot for that instant. If the graph of the derivative crosses from positive x to negative x, then this indicates a local maximum. Likewise, if the graph of the derivative crosses from negative x to positive x then this indicates a local minimum.