Q: What does it mean when the line intercept each other?

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At what point the line intersects the y-intercept, in an equation y=mx+b, b is the y-intercept.

they fall in love with each other...

If you mean: y = mx+b then m is the slope and b is the y intercept.

If you mean: y = -4x then the slope is 4 and the y intercept is -2

right angles are perpendicular lines that intercept each other at right angles which is 90 degrees

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Intercept is a noun, not a verb: so "to intercept" makes no sense. An intercept is a point where a line or curve crosses a line - usually a coordinate axis.

At what point the line intersects the y-intercept, in an equation y=mx+b, b is the y-intercept.

they fall in love with each other...

If you mean: y = mx+b then the slope of the line is m and the y intercept is b

If you mean: y = -4x then the slope is -4 and there is no y intercept because the line cuts through the origin at (0, 0)

If you mean 2x+5y = -10 then the y intercept is -2

It means the point at which the straight line cuts through the y axis.

If you mean: y = mx+b then m is the slope and b is the y intercept.

Do you mean y = -4x+5 then by changing the y intercept of 5 into another value of say 7 the two equations will be parallel to each other providing the slope of -4 remains the same.

If you mean: y = -4x then the slope is 4 and the y intercept is -2

anywhere a line, on a graph, meets with the y axis

If you mean y = mx+b then the slope is m and the y intercept is b