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-- Put a dot at the point where (x=1, y=5). -- Move your ruler so that the dot and the origin are both on the edge of the ruler. -- Draw a line along as much of the ruler as you want to. That line is the graph of y = 5x, which is the equation of the line you're describing.
If you mean: y = -5x then the slope of the line is -5 and there is no y intercept
If you mean a line of y = 2x+5/4 and a curve of y^2 = 10x Then it works out that the line touches the curve at: (5/8, 5/2)
The slope of a line is its "rise over run", or the ratio of its change in y to its change in x. The y intercept is a point where a line intersects the y axis.
At what point the line intersects the y-intercept, in an equation y=mx+b, b is the y-intercept.