Easy Algebra Step-by-Step

188 Easy Algebra Step-by-Step

Step 3. Plot the intercept point and the point (,, 1 ) and draw the graph.

4

2

–2

5

(2, –1)

3

2

y = – x + 2

y

x

Observe from the graph that the run is −2 and the rise is 3, so the slope is

rise

run

=

−

=−

3

2

3

2

as verifi ed by the equation yx+

3

2

2.

As you can see, graphing linear equations is relatively simple because all

you need is two points that lie on the graph of the equation. Finally, if you

are using a graphing calculator to graph linear equations, the equation must

be in slope-y-intercept form.

Exercise 17

1. Find the slope of the line through the points (,, 11 ) and (,, 14 ).

For 2–6, draw the graph of the line determined by the given equation.

2. yx 26 x+ 5. 4 yx 555 x= 8


3. 35 yx 55 x− 9
   6. yxx−

1

3

2

3

4. yx