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

1 Answer
Perilous G.
Apr 25, 2016

Find two points to draw a line through by choosing values of xx and calculating the corresponding values of yy.

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 xx and calculate the corresponding value of yy.
For example:
If x = 0x=0, y = 2y=2, so one point could be (0,2)(0,2).
If x = 1x=1, y = 6y=6, so another point is (1,6)(1,6).
If x = 3x=3, y = 14y=14, so another point is (3,14)(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 xx direction, four steps will be taken in the yy direction, and the line crosses the xx-axis at y = 2y=2.

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