How do you graph the equation #y=4x-1#?

1 Answer
Nov 1, 2017

Passes through #(1/4,0) and (0,-1)#

Explanation:

Basically, this is a straight line in the form #y=mx+b#

Our gradient m is 4 which is positive, so our straight line slopes to the right

You need to solve the equation to see where your line crosses the x and y axis.

  • To find y is easy
    Let #x=0#
    so #y=4(0)-1#
    Giving us #y=-1#
    So now we know our graph passes through #y=-1#
  • For x we use a similar process
    Let #y=0#
    So we get #4x-1=0#
    Hence, #x=1/4#

So now we know our graph passes through #x=1/4# and #y=-1# and has a positive gradient. So we can draw it. graph{y=4x-1 [-5, 5, -2.5, 2.5]}