What is the solution for 4x-y=11?

1 Answer

See below:

Explanation:

There are an infinite number of solutions of 4x-y=11 - and they all lie along a line.

Graphically, it looks like this (at least in the range that we can see:)

graph{4x-11 [-32.47, 32.48, -16.24, 16.23]}

We can find specific points on this line, for instance the x-intercept (found by setting y=0)

4x-0=11

x=11/4=>(11/4,0)

And the y-intercept (by setting x=0):

4(0)-y=11

y=-11=>(0,-11)

We can talk about the slope of the line via a few different methods - I'll do it by shifting the line to slope-intercept form (the general form of which is y=mx+b; m= "slope", b= "y-intercept"):

y=4x-11

and so the slope if 4.