Question

How do you graph the line `y=4x+2`?

Answer 1

Find two points to draw a line through by choosing values of `x` and calculating the corresponding values of `y`.

Explanation:

To graph a straight line, you need two points to draw a line through. To obtain a point on the line, choose a value for `x` and calculate the corresponding value of `y`.
For example:
If `x = 0`, `y = 2`, so one point could be `(0,2)`.
If `x = 1`, `y = 6`, so another point is `(1,6)`.
If `x = 3`, `y = 14`, so another point is `(3,14)`.

You technically only need two, but feel free to find as many points as you'd like to help you align your ruler.

Intuitively, this equation means that, for each step in the `x` direction, four steps will be taken in the `y` direction, and the line crosses the `x`-axis at `y = 2`.