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

1 Answer
May 16, 2018

Answer:

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.