# EXAMPLE 1 Identifying Slopes and y -intercepts Find the slope and y -intercept of the graph of the equation. a. y = x – 3 b. – 4x + 2y = 16 SOLUTION a.

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EXAMPLE 1 Identifying Slopes and y -intercepts Find the slope and y -intercept of the graph of the equation. a. y = x – 3 b. – 4x + 2y = 16 SOLUTION a. The equation y = x – 3 can be written as y = 1x + (– 3). The line has a slope of 1 and a y -intercept of – 3. ANSWER

EXAMPLE 1 Identifying Slopes and y -intercepts SOLUTION The line has a slope of 2 and a y -intercept of 8. ANSWER b. Write the equation – 4x + 2y = 16 in slope - intercept form. – 4x + 2y = 16 Write original equation. 2y = 4x + 16 Add 4x to each side. y = 2x + 8 Divide each side by 2.

GUIDED PRACTICE for Example 1 Find the slope and y -intercept of the graph of the equation. 1. y = 6x + 1 The line has a slope of 6 and a y -intercept of 1. ANSWER

GUIDED PRACTICE for Example 1 2. y = x 4 1 The line has a slope of and a y -intercept of 0. ANSWER 1 4

GUIDED PRACTICE for Example 1 The line has a slope of and a y -intercept of 2. ANSWER 2 3 3. – 2x + 3y = 6

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