Converting Between Linear Forms
Presentation
•
Mathematics
•
9th Grade
•
Medium
Standards-aligned
Melissa Stewart
Used 52+ times
FREE Resource
6 Slides • 5 Questions
1
Converting Between Linear Equation Forms
2
Types of Linear Equations
3
Categorize
y=−21x+6
y−5=32(x+2)
2x−3y=12
y=5x+14
y+3=5(x−7)
5x−7y=10
y−11=−85(x−9)
12x+y=2
y=74x−3
y=mx+b
y−y1=m(x−x1)
Ax+By=C
Arrange the given linear equations, so they are in the column corresponding to their form.
4
Example:
Distribute m
Add/Subtract y1
From Point-Slope Form
Converting to Slope-Intercept Form
5
Add/subtract the x-term
Divide by coefficient of y
From Standard Form
Converting to Slope-Intercept Form
Example:
6
Multiple Choice
Rewrite the following linear equation in slope-intercept form.
y+3=−3(x−1)
y=−3x+6
y=−3x
y=−3x−6
y=−3x−4
7
Multiple Choice
Rewrite the following linear equation in slope-intercept form.
7x+3y=−12
y=−7x−12
y=−37x−12
y=−37x−4
y=37x+4
y=7x+4
8
Example:
Distribute m
Multiple by the common denominator of any fractions
Add/subtract the x-term
Add/Subtract y1
From Point-Slope Form
Converting to Standard Form
9
Example:
Multiple by the common denominator of any fractions
Add/subtract the x-term (to get the variables on the same side)
Optional: Multiply the equation by -1 so the A is positive
From Slope-Intercept Form
Converting to Standard Form
10
Multiple Choice
Rewrite the following linear equations in standard form.
y+43=2(x−2)
8x−4y=19
−8x+4y=−13
−6x+4y=−19
6x−4y=11
11
Multiple Choice
Rewrite the following linear equations in standard form.
y=−51x−8
5x+y=40
x+y=−40
x+5y=−8
x+5y=−40
Converting Between Linear Equation Forms
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