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Notes with answers - Summit Schools

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Your <strong>Notes</strong><br />

Example 1 Use Slope-Intercept Form to Graph a Line<br />

Graph y 1 3 } x 5 1.<br />

2<br />

solution<br />

1. Solve the equation for y by subtracting 3<br />

} x from each<br />

2<br />

side:<br />

y 5 1 2 3<br />

} x or y 5 2<br />

2 3<br />

} x 1 1<br />

2<br />

2. Find the y-intercept. Comparing y 5 2 3<br />

} x 1 1 to<br />

2<br />

y 5 mx 1 b, you can see that b 5 1 . Plot a point<br />

at ( 0 , 1 ).<br />

3. Find the slope. The slope is m 5 2 3<br />

} , so<br />

2 rise<br />

}<br />

run<br />

From (0, 1), move down 3 units and right<br />

2 units. Plot a second point at ( 2 , 22 ).<br />

4. Draw a line through the two points.<br />

1<br />

O<br />

y<br />

1<br />

x<br />

GraphinG Equations in standard Form<br />

Step 1 Write the equation in standard form .<br />

Step 2 Find the x-intercept by letting y 5 0 and<br />

solving for x . Plot the corresponding point.<br />

Step 3 Find the y-intercept by letting x 5 0 and<br />

solving for y . Plot the corresponding point.<br />

Step 4 Draw a line through the two points .<br />

5 23<br />

}<br />

2 .<br />

34 Lesson 2.4 • Algebra 2 C&S Notetaking Guide Copyright © McDougal Littell/Houghton Mifflin Company

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