Linear Equations - y=mx+b

Linear Equations - y=mx+b

 

Multiple Choice

Given the equation:

y=2x+7

What is the slope?

• m = 2

• m = 7

• m = 9

• m = 5

Multiple Choice

Given the equation:

y=2x+7

What is the y-intercept?

• b = 2

• b = 7

• b = 9

• b = 5

 

Multiple Choice

Given the equation, what is the y-intercept?

 $y=\frac{2}{3}x+3$  

•  $b=\frac{2}{3}$  
  

•  $b=\frac{3}{2}$  
  

•  $b=3$  
  

•  $b=3\frac{2}{3}$  
  

Multiple Choice

Given the equation, what is the slope?

 $y=\frac{2}{3}x+3$  

•  $m=\frac{2}{3}$  
  

•  $m=\frac{3}{2}$  
  

•  $m=3$  
  

•  $m=3\frac{2}{3}$  
  

Multiple Choice

Given the equation, what is the slope?

 $y=x+2$  

•  $m=1$  
  

•  $m=2$  
  

•  $m=3$  
  

•  $m=0$  
  

Multiple Choice

Given the equation, what is the y-intercept?

 $y=\frac{3}{4}x-1$  

•  $b=-1$  
  

•  $b=1$  
  

•  $b=\frac{3}{4}$  
  

•  $b=0$  
  

Multiple Choice

Given the equation, what is the slope?

 $y=-\frac{1}{2}x-5$  

•  $m=-\frac{1}{2}$  
  

•  $m=\frac{1}{2}$  
  

•  $m=-5$  
  

•  $m=-5\frac{1}{2}$  
  

Multiple Choice

Given the equation, what is the y-intercept?

 $y=x-5$  

•  $b=-5$  
  

•  $b=5$  
  

•  $b=1$  
  

•  $b=0$  
  

What value can you ADD to anything and still get the same answer?

• For example: -8 + ? = -8

• ZERO!

• -8 + 0 = -8

• Therefore..... y=4x is the same as (or equal to) y=4x+0

Multiple Choice

Given the equation, what is the y-intercept?

 $y=2x$  

•  $b=0$  
  

•  $b=2$  
  

• cannot be determined

What value can you ADD to anything and still get the same answer?

• ZERO!

• Therefore..... y=2x is the same as (or equal to) y=2x+0

• +0 in the back is your y-intercept!

• That means the equation, y=2x will cross the y-axis at zero, going through the origin!

Multiple Choice

Given the equation, what is the y-intercept?

 $y=-\frac{3}{5}x$  

•  $b=0$  
  

•  $b=-\frac{3}{5}$  
  

• cannot be determined

Now let's go backwards!

• Let's say you are given the slope and y-intercept, could you come up with an equation?!

• For example:

• Slope = 4

• Y-intercept = 2

 

Let's talk about the answer:

Write an equation given the following information:

Slope = 2 (m)

Y-intercept = 4 (b)

**do not type any spaces in your equation! Remember: y=mx+b

y=2x+4

Let's talk about the answer:

Write an equation given the following information:

Slope = 5 (m)

Y-intercept = 1 (b)

**do not type any spaces in your equation! Remember: y=mx+b

y=5x+1

Let's talk about the answer:

Write an equation given the following information:

Slope = 1/2 (m)

Y-intercept = 3 (b)

**do not type any spaces in your equation! Remember: y=mx+b

y=1/2x+3

Let's talk about the answer:

Write an equation given the following information:

Slope = -2 (m)

Y-intercept = 4 (b)

**do not type any spaces in your equation! Remember: y=mx+b

y=-2x+4

Let's talk about the answer:

Write an equation given the following information:

Slope = -4 (m)

Y-intercept = -1 (b)

**do not type any spaces in your equation! Remember: y=mx+b

y=-4x+(-1) OR y=-4x-1

Let's talk about the answer:

Write an equation given the following information:

Slope = 1 (m)

Y-intercept = 3 (b)

**do not type any spaces in your equation! Remember: y=mx+b

y=1x+3 OR y=x+3

Let's talk about the answer:

Write an equation given the following information:

Slope = 2/3 (m)

Y-intercept = 0 (b)

**do not type any spaces in your equation! Remember: y=mx+b

y=2/3x+0 OR y=2/3x