Find the slope and the y-intercept.

y=5x

I know the slope would be 5, but what would the y-intercept be??0

Graphing it is always a good way to check.

Remember that y=mx+b

b is the y intercept. Is there is no b then it would be zero.

The other way to find the y intercept is to make x=0 and solve.

In the equation y=5x, the slope is indeed 5. The y-intercept represents the point at which the line intersects the y-axis. In this case, since there is no constant term added to the equation, the y-intercept is 0.

To confirm this, you can graph the equation on a coordinate plane. Plot a point at (0, 0) to represent the y-intercept, and then use the slope of 5 to find other points on the line. Connecting these points will give you a straight line that passes through the origin (0, 0). This confirms that the y-intercept is indeed 0.