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

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. (divide both sides by 2 to get y alone).

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Practice converting linear equations into Slope-Intercept Form

It’s easier than you think…

y = mx + b

Our main goal is to get the y alone on one side of the equation

Convert Into FormSlope-Intercept Form

(divide both sides by 2 to get y alone)

(now simplify all fractions)

2

1

Intercept Form

slope

Now look at the equation below……

When an equation is in slope-intercept form:

y = mx + b

2

What is the slope? ____________

1

What is the intercept? ____________

y = 2x + 1

Step 1: Look at the y-intercept and plot

where the graphs cross 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.

*** Easy *** Form

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!!

*** Now Try this FormConvert 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? ____________

-3 Form-3

-3y = -9x - 12

-3-3 -3

-3y = -9x - 12

(divide both sides by -3 to get y alone)

(now simplify all fractions)

y = 3x + 4

Wow, you’re good at this!!

Slope = 3

Intercept = 4

*** medium *** Form

Convert to Slope-Intercept Form:

21x – 7y =14

(subtract both sides by 21x)

(now divide both sides by -7)

-7y = -21x + 14

(simplify all fractions)

y = 3x – 2

*** Now Try this FormConvert to Slope-Intercept Form***

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

What is the slope? ____________

What is the intercept? ____________

2y + 26 = -6x

(subtract both sides by 26)

(now divide both sides by 2

2y = -6x - 26

(simplify all fractions)

y = -3x - 13

You are a math wizard!