Practice converting linear equations into Slope-Intercept Form - PowerPoint PPT Presentation

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Practice converting linear equations into Slope-Intercept Form

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It s easier than you think Slope intercept form is: y = mx + b Our main goal is to get the y alone on one side of the equation Convert Into Slope-Intercept Form ... – PowerPoint PPT presentation

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Title: Practice converting linear equations into Slope-Intercept Form


1
Practice converting linear equations into
Slope-Intercept Form
  • Its easier than you think

2
Slope intercept form is
y mx b
Our main goal is to get the y alone on one side
of the equation
3
Convert Into Slope-Intercept Form
(divide both sides by 2 to get y alone)
(now simplify all fractions)
2
1
4
When an equation is in slope-intercept form
y mx b
2
What is the slope? ____________
1
What is the y-intercept? ____________
5
Now look at the graph of the line.
y 2x 1
Step 1 Look at the y-intercept and plot where
the graph crosses the y axis.
Step 2 Use the slope (rise/run) to determine the
next point and plot.
Step 3 Draw a line through both points. Be sure
to extend pass point and put arrow at both ends.
6
EASY
Convert to Slope-Intercept Form
5y 10x 15
(divide both sides by 5 to get y alone)
(now simplify all fractions)
y 2x 3 BRAVO!!
7
Now Try this Convert to Slope-Intercept
Form
-3y -9x - 12
Step 1 Divide both sides by -3 to get y alone
Step 2 Simplify all fractions
Step 3 Write your equation in y mx b
What is the slope? ____________
What is the intercept? ____________
8
Check Your Answer
-3y -9x - 12
(divide both sides by -3 to get y alone)
(now simplify all fractions)
y 3x 4
Wow, youre really good at this!!
Slope 3
Intercept 4
9
MEDIUM
Convert to Slope-Intercept Form
21x 7y 14
(subtract 21x from both sides)
(now divide both sides by -7)
-7y -21x 14
(simplify all fractions)
y 3x 2
10
Now Try THIS! Convert to Slope-Intercept Form

2y 26 -6x
Step 1 Subtract 26 from both sides.
Step 2 Divide both sides by 2 to get y by itself.
Step 3 Simplify all fractions.
What is the slope? ____________
What is the intercept? ____________
11
Check Your Answer
2y 26 -6x
(subtract 26 from both sides)
(now divide both sides by 2)
2y -6x - 26
(simplify all fractions)
y -3x - 13
You are a math WIZARD!
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