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Practice converting linear
equations into Slope-
Intercept Form
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
2 4 2
y x
 
2 2
2 4 2
y x
 
2 2 2
(divide both sides by 2 to get y alone)
2 4 2
y x
 
(now simplify all fractions)
2 1
2 1
y x
 
When an equation is in slope-intercept
form:
What is the slope? ____________
2 1
y x
 
Now look at the equation below……
What is the intercept? ____________
1 2 3 4 5
1
2
3
4
5
-1
-2
-3
-4
-5
-1
-2
-3
-4
-5 0
Step 1: Look at the y-intercept and plot
where the graphs cross the “y” axis.
Now look at the graph of the line.
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.
*** Easy ***
5y = 10x + 15
Convert to Slope-Intercept Form:
(divide both sides by 5 to get y alone)
(now simplify all fractions)
y = 2x + 3 BRAVO!!
5 10 15
y x
 
5 5
5 10 15
y x
 
5 5 5
*** 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? ____________
*** Check Your Answer ***
-3y = -9x - 12 (divide both sides by -3 to get y alone)
(now simplify all fractions)
y = 3x + 4
-3 -3
-3y = -9x - 12
-3 -3 -3
Slope = 3
Intercept = 4
Wow, you’re good
at this!!
*** medium ***
21x – 7y =14
Convert to Slope-Intercept Form:
(subtract both sides by 21x)
-7y = -21x + 14
(now divide both sides by -7)
y = 3x – 2
(simplify all fractions)
21 -21x
x

7 - 7 -7

2y + 26 = -6x
Step 1: Subtract both sides by 26
Step 2: Divide both sides by 2 to get y by itself
Step 3: Simplify all fractions
*** Now Try this Convert to Slope-
Intercept Form ***
What is the slope? ____________
What is the intercept? ____________
2y + 26 = -6x (subtract both sides by 26)
2y = -6x - 26
(now divide both sides by 2
y = -3x - 13
(simplify all fractions)
You are a math wizard!
*** Check Your Answer ***
26 -26

2 2 2

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Slope_intercept.ppt

  • 1. Practice converting linear equations into Slope- Intercept Form It’s 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 2 4 2 y x   2 2 2 4 2 y x   2 2 2 (divide both sides by 2 to get y alone) 2 4 2 y x   (now simplify all fractions) 2 1 2 1 y x  
  • 4. When an equation is in slope-intercept form: What is the slope? ____________ 2 1 y x   Now look at the equation below…… What is the intercept? ____________
  • 5. 1 2 3 4 5 1 2 3 4 5 -1 -2 -3 -4 -5 -1 -2 -3 -4 -5 0 Step 1: Look at the y-intercept and plot where the graphs cross the “y” axis. Now look at the graph of the line. 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 *** 5y = 10x + 15 Convert to Slope-Intercept Form: (divide both sides by 5 to get y alone) (now simplify all fractions) y = 2x + 3 BRAVO!! 5 10 15 y x   5 5 5 10 15 y x   5 5 5
  • 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 -3 -3 -3y = -9x - 12 -3 -3 -3 Slope = 3 Intercept = 4 Wow, you’re good at this!!
  • 9. *** medium *** 21x – 7y =14 Convert to Slope-Intercept Form: (subtract both sides by 21x) -7y = -21x + 14 (now divide both sides by -7) y = 3x – 2 (simplify all fractions) 21 -21x x  7 - 7 -7 
  • 10. 2y + 26 = -6x Step 1: Subtract both sides by 26 Step 2: Divide both sides by 2 to get y by itself Step 3: Simplify all fractions *** Now Try this Convert to Slope- Intercept Form *** What is the slope? ____________ What is the intercept? ____________
  • 11. 2y + 26 = -6x (subtract both sides by 26) 2y = -6x - 26 (now divide both sides by 2 y = -3x - 13 (simplify all fractions) You are a math wizard! *** Check Your Answer *** 26 -26  2 2 2