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Equations of Lines (Point Slope, Slope Intercept & Standard Form)
Presentation
•
Mathematics
•
9th - 12th Grade
•
Medium
Standards-aligned
Gina Collins
Used 36+ times
FREE Resource
11 Slides • 12 Questions
1
by Ms. G Collins
2
How to write an equation of a line given 2 points
3
There are two key facts we need to identify in the graph of a line.
1. slope
2. y-intercept
After we find these, we plug them into the equation.
4
5
Fill in the Blanks
In order to write the equation of a line through the points
(4,2) and (6,-6) you must first find the slope.
Type answer...
6
- A slope (m)
- A y-intercept (b)
7
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
8
But, what about when we have a piece missing?
9
10
Fill in the Blanks
What is the value of b?
Type answer...
11
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
12
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
Fill in the Blanks
Using the equation 1=8(−3)+b what is the y intercept?
Type answer...
14
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?
15
Multiple Choice
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
y + 7 = -1/4(x - 4)
y - 4 = -1/4(x + 7)
y + 7 = 4(x - 4)
y - 7 = -1/4(x - 4)
16
Multiple Choice
What is the slope intercept form for
y + 7 = -1/4(x - 4)
y=-1/4x-6
y=-1/4x+6
y=7/4x+28
y=1/4x+6
17
Multiple Choice
Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3
y - 5 = -3(x - 10)
y= -3x + 35
y + 5= -3(x + 10)
y= -3x - 35
18
Multiple Choice
What is y intercept of the equation y - 3 = 4(x - 0)
4
-3
3
-4
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First, add or subtract the "x" term.
Second, divide by the coefficient (number in front of) y.
Finally, simplify if you can.
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21
Multiple Choice
Which equation represents 4x - 2y = 6 in slope intercept form.
y = 2x - 3
y = -2x + 3
y = 21x − 3
y = 2x + 8
22
Multiple Choice
Write x + 5y = 10 in slope intercept form.
y=−5x + 2
y = −51x + 5
y = 5x + 2
y = −51x + 2
23
Multiple Choice
Which represents -2x - 3y = 12 in slope intercept form.
y = −32x − 4
y = 32x − 4
y = −32x + 4
y = 32x + 4
by Ms. G Collins
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