Question

Find the slope and the y intercept y=5x-3what is the slope what is the y intercept

Answer 1

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:

`\begin{gathered} y=5x-3 \\ x=0 \\ y=-3 \end{gathered}`

The y-intercept is -3

Then, this equation is written in the slope-intercept form. The general form is:

`y=ax+b`

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