The y-intercept is the point where the graph of the equation crosses the y-axis. This happens when x = 0. If we replace x = 0 into the equation we get the y-intercept:
[tex]\begin{gathered} y=5x-3 \\ x=0 \\ y=-3 \end{gathered}[/tex]The y-intercept is -3
Then, this equation is written in the slope-intercept form. The general form is:
[tex]y=ax+b[/tex]Where b is the y-intercept and a is the slope. If we look at the equation and compare it to the general form we can see that a = 5 and b = -3 (b is the same value we obtained before for the y-intercept)
So, the slope is 5.
The slope is the variation of y respect of x
