How do you graph #y=x+12# and #y=1/4x-3#?

1 Answer

See below:

Explanation:

Each of these equations is a line. Let's do them one at a time, then combine them.

#y=x+12#

For this, we can draw a line with the #y#-intercept at 12 #(0,12)# and then with the slope being 1, we can also draw in a point at #(0+1, 12+1)=>(1,13)#, connect the dots and draw the line.

graph{x+12 [-20.58, 7.9, -0.82, 13.42]}

#y=1/4x-3#

We can graph the #y#-intercept point #(0,-3)# and with slope #1/4# we can also graph #(0+4, -3+1)=>(4,-2)#, connect them up and draw the line.

graph{1/4x-3 [-7.77, 24.27, -7.41, 8.61]}

Put them together and we have:

graph{(y-(x+12))(y-(1/4x-3))=0 [-24.43, 4.04, -12.2, 2.04]}