Slope Intercept
Presentation
•
Mathematics
•
9th - 12th Grade
•
Medium
+4
Standards-aligned
Used 501+ times
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8 Slides • 7 Questions
1
Slope Intercept
2
In order to write an equation in Slope Intercept Form, you need 2 things:
- A slope (m)
- A y-intercept (b)
3
y=mx+b
4
Multiple Choice
If m=3 and b=6, what is the correct slope intercept equation?
y=3-6
y=3x-6
y=3x+6
y=6x+3
5
It's easy when we are given the slope and the y-intercept....
But, what about when we have a piece missing?
6
Write an equation of the line in Slope Intercept Form that goes through the point (-3,7) and has a slope of 1/3
Use our handy dandy formula: y=mx+b
Know that -3 is x and 7 is y
Know that 1/3 is m
Substitute those values into y=mx+b
7=(1/3)(-3) + b
Solve for b
7
Fill in the Blanks
What is the value of b?
Type answer...
8
So now we have a slope (1/3) and a y intercept (8).
Guess what? We now have everything we need to write a Slope Intercept equation:
y= 31x+8
9
Now let's go one step further... We are just given 2 points and that's it.... uh oh (3,−1) (4,7)
Use the slope formula to find the slope
Once you have the slope, choose one of your 2 points (it doesn't matter which you choose - I kind of like to stick with the one on the left)
Go through the exact same steps we just did in the previous slides
10
Multiple Choice
What is the formula for finding slope?
y=mx+b
Ax+By=C
x2−x1y2−y1
11
Fill in the Blanks
Find the slope from the given points:
(3,-1) (4,7)
Type answer...
12
So now we have our slope: 8 and we now need to find our y intercept. Let's choose the point (3,-1).
Now we just follow the exact same steps as the previous example.
* Substitute the values for x and y and m into the slope intercept formula (you will answer this on the next slide, so write it down!)
13
Multiple Choice
After substituting in the values, what does the equation look like?
−1=8(3)+b
3=8(−1)+b
14
Fill in the Blanks
Using the equation 1=8(−3)+b what is the y intercept?
Type answer...
15
Open Ended
Now we can write our Slope Intercept Equation :)
We have a slope of 8 and a y intercept of 25.
What is the equation of the line?
Slope Intercept
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