Slope intercept form
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Slope – Intercept Form . Objective:. 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.

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Objective
Objective:

  • 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.


Activity
ACTIVITY!

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.


Look at these two graphs closely what observations can you make relating the graph to the formula
Look at these two graphs closely, what observations can you make relating the graph to the formula?

5

4

1

2

y = x + 2

y = - x – 1


Let s discuss
Let’s Discuss! make relating the graph to the formula?

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
Write an Equation! make relating the graph to the formula?

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


Your turn
 Your Turn!  make relating the graph to the formula?

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


Let s go the other way
Let’s go the other way… make relating the graph to the formula?

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


Your turn1
 Your Turn!  make relating the graph to the formula?

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


Let s graph
Let’s Graph! make relating the graph to the formula?

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

y = -x + 5

3x + y = 9