Question

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

Answer 1

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 `(0,7)`. So that's one point taken care of.

Plot at least two more points using the gradient (in this case 1).

Gradient = change in `y`/change in `x`

If the gradient = 1, that means that for every 1 you go in the y direction, you also go 1 in the x direction.

Using this, you can plot at least 2 more points, and then connect the points and extend the line.