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

1 Answer
May 16, 2018

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.