 # Write an equation given the slope and y-intercept EXAMPLE 1 Write an equation of the line shown.

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Write an equation given the slope and y-intercept EXAMPLE 1 Write an equation of the line shown.

SOLUTION Write an equation given the slope and y-intercept EXAMPLE 1 From the graph, you can see that the slope is m = and the y- intercept is b = –2. Use slope-intercept form to write an equation of the line. 3 4 y = mx + b Use slope-intercept form. y = x + (–2) 3 4 Substitute for m and –2 for b. 3 4 y = x (–2) 3 4 Simplify.

GUIDED PRACTICE for Example 1 Write an equation of the line that has the given slope and y- intercept. 1. m = 3, b = 1 y = x + 1 3 ANSWER 2. m = –2, b = –4 y = –2x – 4 ANSWER 3. m = –, b = 3 4 7 2 y = – x + 3 4 7 2 ANSWER

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