Question

Sketch the graph of each line. y=4

Answer 1

Check the picture below.

y = "some constant" is always a horizontal line.

x = "some constant", is always a vertical line.

Answer 2

Step-by-step explanation: The equation y = 4 can be thought of as y = 0x + 4.

So our slope or m equals 0 and our y-intercept or b equals 4.

To graph the line, we start with the y-intercept which is 4. So we go up 4 units on the y-axis and we will call that point A. From there we take our slope which in this case is 0. When the slope of a line is 0, the line must be horizontal.

So we draw a horizontal line through point A like I have done in the picture.

It may help you to memorize that when your equation reads y = a number, your graph will always be a horizontal line.