Question

How do you graph the equation `y=2x+6`?

Answer 1

Explanation below.

Explanation:

This is a line with slope `2` and `y`-intercept `6`.

Since a straight line can be defined with as few as two points, you can do the following:

Plot the point `(0, 6)` first, since the point where the line intercepts the `y` axis has `x = 0`.

Then, pick any value other than `0` for `x`, find the corresponding `y` value, then plot that point as well. For example,

for `x=1`, `y=2 + 6 = 8`. So the point is `(1, 8)`

Connect both points, and extend the line in both directions.