Question

How do you determine the intercepts from an equation or graph?

Answer 1

maybe this could help: If you have a graph, the intercepts are the points that cross the axes. For example, the y-intercept is where your function crosses the y-axis. And the x-intercept(s) are where your function crosses the x-axis.

Remembering that the y-axis is where all the x values are zero, you can plug in x = 0 to find the y-intercept.
Similarly, the x-axis is where all the y values are zero, you can plug in y = 0 to find the x-intercept.

For example, let's say you had the linear equation:
y = 2x - 4

If you plug in x = 0:
y = 2(0) - 4
y = 0 - 4
y = -4

So the y-intercept is -4.

If you plug in y = 0:
0 = 2x - 4
4 = 2x
x = 4/2
x = 2

So the x-intercept is 2.

Answer 2

Thanks!