Question

How do you find the slope and y intercept of `y = 4x + 4`?

Answer 1

Slope = 4, y intercept = 4

Explanation:

The y intercept is the value of `y` where the function you're plotting crosses the `y` axis, so if we set `x = 0` in the equation we can see we get `y = 4`.

The slope represents the change in `y` for a unit change in `x`, and might also be called the gradient of a line. It gives us a measure of how steep the line is. We can see changing `x` will give a change in `y` which is 4 times as big, because the `x` term is multiplied by 4, so the slope is +4.

We recognise the equation as one of the form y = mx + c, where m and c are constants. 'm' will always be the slope of the graph and 'c' the y intercept if your equation is in this form.