How do you graph the line #y = 4#?

2 Answers

See below.

Explanation:

When graphing #y=4#, you know the #y# value is #4#, so you draw a dot at #(0,4)#, but if you recall from class, if it a single variable, like #y=4#, it goes horizontally, i.e. parallel to the #y#-axis as shown below:

Desmos

Jun 30, 2018

Horizontal line at #y=4#

Explanation:

In slope-intercept form, this equation can be written as

#y=0x+4#, where our slope is zero and #y#-intercept is at #4#.

The only kind of line with a slope of zero is a horizontal line- the only values this equation takes on is when #y=4#; it doesn't matter what #x# is.

We will just have a horizontal line at #y=4#.

graph{y=0x+4 [-9.96, 10.04, -3.08, 6.92]}

Hope this helps!