1. Slope Intercept Form
Graphing the easy way
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2. Why use slope-intercept?
Speed
Simplicity
It’s on the test.
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3. What to do… Gives the slope and y-intercept y = mx + b
Slope intercept form:
y-intercept
The slope
Graph
Where the graph intercepts the y-axis (b) m
m is the slope
b is the y-intercept
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4. For Example y = 2x + 1 In the form y = mx + b m = 2 and b = 1
slope = 2
y-int = 1
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5. For the following, name the slope and y-intercept.
1.) y = 3x + 4
2.) y = x + 2
3.) y = 7x – 3
m = 3
b = 4
m = 1
b = 2
m = 7
b = -3
4.) y = ½ x – 8
5.) y = -3x
6.) y = 6x + 9
m = ½
b = -8
m = -3
b = 0
m = 6
b = 9
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6. To Graph…y = 2x + 1 (just watch this one)
We know the y-int = 1 and slope = 2 (2/1)
First: y-intercept
Second: slope
Third: Draw line
run
run
(1)
rise
rise
(2)
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7. 7.) Try this one… y = x + 2 y-int = 2 and slope = 1 (1/1)
First: y-intercept
Second: slope
Third: Draw line
run
run
rise
rise
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8. 8.) Try this one… y = ½ x + -2 y-int = -2 and slope = ½
First: y-intercept
Second: slope
Third: Draw line
run
run
rise
rise
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9. 9.) Try this one One more… y = -2x + 3 y-int = 3 and slope = -2 (-2/1)
First: y-intercept
Second: slope
Draw line
rise
run
rise
run
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10. Examples 10-12 Solve these problems and compare with a partner.
11 and 12 need to be solved for y first, so that they are in slope-intercept form.
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11. Conclusion When graphing an equation that is in slope intercept form:
Graph y-intercept
Follow rise and run of the slope
Draw the line
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