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Slope – Intercept Form

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Slope – Intercept Form

- Students will investigate graphs to determine what the coefficients and constants represent in the slope-intercept form equation.
- Students will create equations in slope-intercept form given the slope and the y-intercept.
- Students will be able to graph linear equations given in slope-intercept form using only the slope and the y-intercept.

QUICKLY get into a group of 2 or 3.

One person needs to record thoughts from the group members and one person needs to make sure that the group stays on task.

5

4

1

2

y = x + 2

y = - x – 1

What are your thoughts about the graphs and how they relate to their formulas?

Given the following formula, what can you tell me about each letter?

(Use mathematical terms!!)

y = mx + b

slope–intercept form

Write an equation in slope-intercept form given the slope of 3 and a y – intercept of 7

y = 3x + 7

Write an equation in slope-intercept form given the slope of -2 and a y – intercept of -1

y = -2x -1

Write an equation in slope-intercept form given the slope of ½ and a y – intercept of 4

y = ½ x + 4

Write an equation in slope-intercept form given the slope of ⅗ and a y – intercept of -5

y = ⅗x – 5

Given the following linear equation, determine the slope and the y – intercept.

y = ⅔x + 5

m = ⅔

y – intercept = 5

y = -3x

m = -3

y – intercept = 0

-3x + y = 8

OH NO!! WHAT FORM IS THIS IN?! WHAT FORM SHOULD IT BE IN?!

y = 3x + 8

m = 3

y – intercept = 8

Given the following linear equation, determine the slope and the y – intercept.

1) y = 4x + 7

m = 4

y – intercept = 7

2) 2x + y = -4

y = -2x – 4 (change from standard form to slope-intercept form!)

m = -2

y – intercept = -4

Use only the slope and y-intercept to graph the equation.

y = -x + 5

3x + y = 9