What is the slope and intercept for #y=1/2x-1# and how would you graph it?

1 Answer
Oct 10, 2015

Answer:

Slope = #1/2#, intercept = #-1#. For the graph, see below.

Explanation:

When a line's equation is in the form #y=mx+q#, then #m# is the slope, and #q# is the #y#-intercept.

So, in your case, #m=1/2# is the slope, and #q=-1# is the intercept.

The easiest way to graph a line is always to find two of its point and connecting them. For example, let's pick #x=0# and #x=2#. The correspondant #y# values are

#y(0) = 1/2*0 - 1 = -1#, and

#y(2) = 1/2*2-1 = 1-1 = 0#.

So, the line passes through #(0,-1)# and #(2,0)#, and with two points known, the line is uniquely identified.