Easy Algebra Step-by-Step

Graphing Linear Equations 187

Step 2. Plot the intercept point and the point (,, 4 ) and draw the graph.

4

2

1

–2

5

(1, 4)

y

x

y = 3 x + 1

Observe from the graph that the run is 1 and the rise is 3, so the slope is

rise

run

==

3

1

3 as verifi ed by the equation yx 31 xx+.

Problem Graph the line whose equation is 32 xy 222 y= 4.

Solution

Step 1. Solve the equation for y to get the slope-y-intercept form.

32 xy 222 y= 4

32 xy 222 y− 34 xx 44 33

23 yx 3 + 4

2

2

34

2

y x

=

− 3

yx+

3

2

2

Step 2. Choose a convenient x value, say, x= 2 , and compute the corre-

sponding y value.

y=

−

=−

3

2

() 2 + 2 1.