Linear Functions
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Transcript of Linear Functions
![Page 1: Linear Functions](https://reader036.fdocuments.net/reader036/viewer/2022082704/55867134d8b42a2e278b471a/html5/thumbnails/1.jpg)
Linear Functions
![Page 2: Linear Functions](https://reader036.fdocuments.net/reader036/viewer/2022082704/55867134d8b42a2e278b471a/html5/thumbnails/2.jpg)
Do Now: How do we know if a set of data represents a linear function?
Check the rate of change (slope) and see if it is constant
Do the following represent linear functions?
x 2 3 5 8 10
y 5 9 17 29 37
t 0 1 4 5 8
h 3 5 10 11 17
![Page 3: Linear Functions](https://reader036.fdocuments.net/reader036/viewer/2022082704/55867134d8b42a2e278b471a/html5/thumbnails/3.jpg)
How do we write the equation of a line?
1. Use slope/intercept (y = mx + b) if given slope and y-intercept
2. Use point/slope (y - y1 = m(x - x1))if given point and slope or 2 points (find slope)
![Page 4: Linear Functions](https://reader036.fdocuments.net/reader036/viewer/2022082704/55867134d8b42a2e278b471a/html5/thumbnails/4.jpg)
Find an equation of a line for each of the following:
1. Slope = 6, y-intercept = 4
2. Slope = - 3, passing through (- 1, 4)
3. Passes through (-2,1) and (1,-5)
4. f(-1) = 4 and f (1) = 0
![Page 5: Linear Functions](https://reader036.fdocuments.net/reader036/viewer/2022082704/55867134d8b42a2e278b471a/html5/thumbnails/5.jpg)
Complete each of the following:
Parallel lines have ______________ slopes
Perpendicular lines have ________________ slopes
Vertical lines have ______________ slopes
Horizontal lines have _________________ slopes
A linear function is increasing when the slope is _____
A linear function is decreasing when the slope is _____
![Page 6: Linear Functions](https://reader036.fdocuments.net/reader036/viewer/2022082704/55867134d8b42a2e278b471a/html5/thumbnails/6.jpg)
How do we find the equation of the perpendicular bisector?
Ex. Find the equation of the perpendicular bisector of the segment joining (-1,2) and (3,6)
1. Find the slope of the line segment - use negative reciprocal
2. Find the midpoint of the line segment
3. Write the equation using the midpoint and the negative reciprocal slope.