# How do you graph y=x+7 by plotting points?

The number in front of the $x$ is the gradient, in this case it is 1. The $+ 7$ is the y-axis intercept, so the line touches the y-axis at the coordinate $\left(0 , 7\right)$. So that's one point taken care of.
Gradient = change in $y$/change in $x$