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Warmups
1. Determine the slope of the line passing through: (2,7) (4,-5)
2. Find the slope of each equation:
3x – 6y = 6 y – 2=3(x-1)
3. Find the x- and y-intercepts: 2x + 5y = 20 y= -2x – 4
52
4y x
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6-5 Graphing Linear Equations
Objective: To graph a line in slope-intercept form.
![Page 3: Warmups 1. Determine the slope of the line passing through: (2,7) (4,-5) 2. Find the slope of each equation: 3x – 6y = 6 y – 2=3(x-1) 3. Find the x- and](https://reader036.vdocument.in/reader036/viewer/2022072112/56649d0e5503460f949e4099/html5/thumbnails/3.jpg)
Slope – Intercept Form
y = mx +
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Slope-Intercept Form
y = mx + b
x & y will stay letters m = slope, written as a fraction b = y-intercept, (0,b)
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Steps to Graph1. Graph b (y-intercept) on the y-axis
2. Use slope (as a fraction) to find your next point
- rise/ run from the y-intercept
Example 1: graph y = -1/3 x + 4
m = -1 = 1 = rise
3 -3 run
b = (0,4) start here
y-intercept
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Example 2 graph y = x – 5
m = 1 = -1 = rise
1 -1 run
B = (0,-5) start here!
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Example 3 graph y = 4x
m = 4 = -4 = rise
1 -1 run
B = (0,0) start here!
![Page 8: Warmups 1. Determine the slope of the line passing through: (2,7) (4,-5) 2. Find the slope of each equation: 3x – 6y = 6 y – 2=3(x-1) 3. Find the x- and](https://reader036.vdocument.in/reader036/viewer/2022072112/56649d0e5503460f949e4099/html5/thumbnails/8.jpg)
Example 4 (it’s standard form) graph 3x + 2y = 12
Use the x- and y-intercepts to graph!
Hint: cover up method
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Examples 5 & 6
graph y = -3x + 4 2y
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Examples 7 & 8
graph1
32
y x 4 4x y
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Homework
Graphing using slope-intercept form 6-5 Practice