Interpreting Slope and Y-Intercept

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Presentation transcript:

Interpreting Slope and Y-Intercept Students need notes. Write what appears in the bouncing white box! Students: Write on your notes what appears here! Listen for the Drum roll Cain 11/20/08

The value of y where the line crosses the y-axis REVIEW! Slope is : RISE RUN Coefficient of x Y-Intercept is : A constant term The value of y where the line crosses the y-axis Slope and y-intercept are both numbers y = mx + b

What happens to the graph when… y = x 1. becomes y = x + 2? The y-intercept changes from 0 to positive 2.

What happens to the graph when… y = x 2. becomes y = x ─ 3? The y-intercept changes from 0 to negative 3.

What happens to the graph when… y = x 3. becomes y = 3x? The slope changes from 1 to 3.

What happens to the graph when… y = x 4. becomes y = ─x? The slope changes from 1 to -1.

What happens to the graph when… y = x 5. becomes y = 2x ─ 3? The y-intercept changes from 0 to negative 3 and the slope changes from 1 to 2.

What happens to the graph when… y = 2 6. becomes y = ─ 1? The y-intercept changes from 2 to ─1.

What happens to the graph when… y = x 7. becomes y = ─x + 1? The y-intercept changes from 0 to 1 and the slope changes from 1 to ─1.

Write an equation with the following traits: 8. A slope of 5 and a y intercept of 0 y = 5x + 0 y = 5x 9. A slope of 3 and a y intercept of ─2 y = 3x ─ 2

Write an equation with the following traits: 10. What kind of line has a slope equal to zero? A slope of 0 and a y intercept of 4 y = 0●x +4 y = 4 A slope of 0 and a y intercept of ─99 A horizontal line y = a constant term 11. y = ─ 99

Thank you for your attention!