# Example 1 Identifying Slopes and y-intercepts Find the slope and y -intercept of the graph of the equation. ANSWER The line has a slope of 1 and a y -intercept.

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

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

Find the slope and y -intercept of the graph of the equation. ANSWER slope: 6 ; y- intercept : 1 3. – 2x + 3y = 6 1. y = 6x + 1 2. y = x 4 1 ANSWER slope: ; y- intercept : 0 4 1 ANSWER slope: ; y- intercept : 2 3 2 Guided Practice for Example 1

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