Unit 5.6
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The document discusses identifying the slope and y-intercept of a line from its equation. It provides examples of finding the slope and y-intercept for different line equations by rewriting the equations in slope-intercept form as needed. Specifically, it shows identifying the slope as 3 and the y-intercept as 4 for the equation y = 3x + 4, and identifying the slope as -3 and y-intercept as 2 for the equation 3x + y = 2 after rewriting it as y = -3x + 2.
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Unit 5.6
- 1. Unit 5.6 Slope and y-intercept y = mx + b
- 3. Example 1 Identify slope and y-intercept Identify the slope and y-intercept of the line with the given equation. a. y = 3x + 4 b. 3x + y = 2 SOLUTION a. The equation is in the form y = mx + b. So, the slope of the line is 3, and the y-intercept is 4. b. Rewrite the equation in slope-intercept form by solving for y. 3x + y = 2 Write original equation. y = – 3x + 2 Subtract 3x from each side.
- 4. Example 1 Identify slope and y-intercept ANSWER The line has a slope of –3 and a y-intercept of 2.
- 5. W MUP AR Identify the slope and y-intercept of the line with the given equation. 1. y = 5x – 3 ANSWER 5; – 3 2. 3x – 3y = 12 ANSWER 1; – 4 1; 1 – 1 3. x + 4y = 6 ANSWER 4 2