Question

Draw the graph of each of the following (1) 2y=-x+1 (2)-x+y=6

Answer 1

You typed two equal signs 2y=x=1. So you probably

meant to type one of these:

2y+x=1

2y-x=1

2y=x+1

2y=x-1

I will assume it was the first one. Also you didn't say whether to

use the slope, rise over run, or the point method. So I'll assume

it was the point method.

We find three (or more) points

Arbitrarily pick y=0

2y+x=1

2(0)+x=1

0+x=1

x=1, so the line goes through the point (x,y) = (1,0)

Arbitrarily pick x=5

2y+x=1

2y+(5)=1

2y+5=1

2y=-4

y=-2, so the line goes through the point (x,y) = (5,-2)

Arbitrarily pick y=3

2y+x=1

2(3)+x=1

6+x=1

x=-5, so the line goes through the point (x,y) = (-5,3)

Now we get some graph paper, draw an x-axis and a y-axis.

Then we plot those 3 points:

Now we get a ruler and draw a line through those points:

Really you need only two points, but we always find a third point as

a check, because if they don't line up, we would know we had made a

mistake.

Answer 2

Character sketch of Cox