slope – intercept form. objective: students will investigate graphs to determine what the...
TRANSCRIPT
![Page 1: Slope – Intercept Form. Objective: Students will investigate graphs to determine what the coefficients and constants represent in the slope-intercept](https://reader035.vdocument.in/reader035/viewer/2022072006/56649d0e5503460f949e4129/html5/thumbnails/1.jpg)
Slope – Intercept Form
![Page 2: Slope – Intercept Form. Objective: Students will investigate graphs to determine what the coefficients and constants represent in the slope-intercept](https://reader035.vdocument.in/reader035/viewer/2022072006/56649d0e5503460f949e4129/html5/thumbnails/2.jpg)
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.
![Page 3: Slope – Intercept Form. Objective: Students will investigate graphs to determine what the coefficients and constants represent in the slope-intercept](https://reader035.vdocument.in/reader035/viewer/2022072006/56649d0e5503460f949e4129/html5/thumbnails/3.jpg)
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.
![Page 4: Slope – Intercept Form. Objective: Students will investigate graphs to determine what the coefficients and constants represent in the slope-intercept](https://reader035.vdocument.in/reader035/viewer/2022072006/56649d0e5503460f949e4129/html5/thumbnails/4.jpg)
Look at these two graphs closely, what observations can you make relating the graph to the formula?
y = x + 2 y = - x – 1 54
12
![Page 5: Slope – Intercept Form. Objective: Students will investigate graphs to determine what the coefficients and constants represent in the slope-intercept](https://reader035.vdocument.in/reader035/viewer/2022072006/56649d0e5503460f949e4129/html5/thumbnails/5.jpg)
Let’s Discuss! 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
![Page 6: Slope – Intercept Form. Objective: Students will investigate graphs to determine what the coefficients and constants represent in the slope-intercept](https://reader035.vdocument.in/reader035/viewer/2022072006/56649d0e5503460f949e4129/html5/thumbnails/6.jpg)
Write an Equation!
Write an equation in slope-intercept form given the slope of 3 and a y – intercept of 7
y = 3x + 7Write an equation in slope-intercept form given
the slope of -2 and a y – intercept of -1y = -2x -1
![Page 7: Slope – Intercept Form. Objective: Students will investigate graphs to determine what the coefficients and constants represent in the slope-intercept](https://reader035.vdocument.in/reader035/viewer/2022072006/56649d0e5503460f949e4129/html5/thumbnails/7.jpg)
Your Turn!
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
![Page 8: Slope – Intercept Form. Objective: Students will investigate graphs to determine what the coefficients and constants represent in the slope-intercept](https://reader035.vdocument.in/reader035/viewer/2022072006/56649d0e5503460f949e4129/html5/thumbnails/8.jpg)
Let’s go the other way…Given the following linear equation, determine the
slope and the y – intercept. y = ⅔x + 5
m = ⅔y – intercept = 5
y = -3xm = -3
y – intercept = 0 -3x + y = 8
OH NO!! WHAT FORM IS THIS IN?! WHAT FORM SHOULD IT BE IN?! y = 3x + 8
m = 3y – intercept = 8
![Page 9: Slope – Intercept Form. Objective: Students will investigate graphs to determine what the coefficients and constants represent in the slope-intercept](https://reader035.vdocument.in/reader035/viewer/2022072006/56649d0e5503460f949e4129/html5/thumbnails/9.jpg)
Your Turn!
Given the following linear equation, determine the slope and the y – intercept.
1) y = 4x + 7 m = 4
y – intercept = 72) 2x + y = -4
y = -2x – 4 (change from standard form to slope-intercept form!) m = -2 y – intercept = -4
![Page 10: Slope – Intercept Form. Objective: Students will investigate graphs to determine what the coefficients and constants represent in the slope-intercept](https://reader035.vdocument.in/reader035/viewer/2022072006/56649d0e5503460f949e4129/html5/thumbnails/10.jpg)
Let’s Graph!
Use only the slope and y-intercept to graph the equation.
y = -x + 5
3x + y = 9