Slope Intercept Form

Slope and Y-intercept

Let's start over...

Please get out a piece of paper and your computer. I will tell you what slides need to be copied.

You do not need a calculator.

What do you notice?
Do we start at 0?
Are wait times increasing or decreasing?

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​What is this graph showing?

What do you notice?
Do we start at 0?
Are wait times increasing or decreasing?

​

​What is this graph showing?

What do you notice?
Do we start at 0?
Are wait times increasing or decreasing?
How much is he adding per month?

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​What is this graph showing?

Slope-intercept Form

• y = mx + b

• m represents the slope, rate of change, rise/run

• b represents the y-intercept, place the graph touches the y-axis

• Example: y=3x+4

• m(slope)=3

• b(y-intercept)=4

Multiple Choice

What is the slope of y=4x-6

• -6

• 6

• 4

• -4

Multiple Choice

What is the y-intercept of y=1/2x+4

• 4

• 2

• 1/2

• -4

Multiple Choice

What is the correct m and b of the equation:

$$y=-\frac{7}{2}x-3$$  

• m= $$\frac{7}{2}$$    b=3

• m= $$-\frac{7}{2}$$   b=3

• m=  $$-\frac{7}{2}$$   b=-3

• m= -3  b= $$-\frac{7}{2}$$  

Poll

How are we feeling?

• Got it!

• Still Lost!

Open Ended

What is a strategy you can use to find the slope of a graph?

Slope of a Graph using Rise over Run

You can find the slope of a graph using rise/run

Slope of a Graph using Rise over Run

You can find the slope of a graph using rise/run

Multiple Choice

What is the slope of this line?

m=rise/run

• m = 1/2

• m = 2/1

• m = -2/1

• m = -1

Multiple Choice

Find the slope of the line.

• -2
• 2
• -1
• 1

Multiple Choice

Find the slope

• 5/2
• -5/2
• 2/5
• -2/5

Multiple Choice

Find the slope

• -5/3
• -3/5
• 5/3
• 3/5

Multiple Choice

Find the slope of the line.

• 1/2
• -1/2
• 2
• -2

Multiple Choice

What type of slope does this graph show?

• Positive

• Negative

• Zero

• Undefined

Y-Intercept of a Graph

The y-intercept is the point where the line crosses the y-axis

Multiple Choice

What is the y-intercept of this graph?

• b = -2

• b = 2

• b = 1

• b = -1

Multiple Choice

What is the y-intercept of the line?

• (0, 4)
• (0, -4)
• (0, 5)
• (0, -5)

Multiple Choice

What is the y-intercept of the line?

• (0, -4.5)
• (0, 4.5)
• (0, 5)
• (0, -5)

Multiple Choice

What is the y-intercept of the line?

• (0, 2)
• (0, -2)
• (0, 1)
• (0, -1)

Multiple Choice

What is the y-intercept of the graph shown?

• -2

• 4

• 2

• -4

Multiple Choice

What is the y-intercept of the graph shown?

• 2

• -3

• $$\frac{1}{2}$$

• 3

Multiple Choice

What is the slope of the line with the equation y = 2/3x - 6 ?

• 2/3

• - 2/3

• 3/2

• -3/2

Multiple Choice

What is the slope of the line with the equation y = 4x + 12

• 4

• 1/4

• -4

• -1/4

Multiple Choice

Which of these represents slope-intercept form?

• y - y₁ = m(x-x₁)
• Ax + By = C
• y = mx + b

Multiple Choice

Determine the slope and y-intercept from the following equation:   y = 3/2x + 3

• slope: 5   y-intercept:  (0,3) 
• slope: 3/2   y-intercept:  (0,3) 
• slope:  4  y-intercept:  (0,3/2)
• slope: 1/5   y-intercept:  (0,5) 

Multiple Choice

If m=3 and b=6, what is the correct slope intercept equation?

• y=3-6
• y=3x-6
• y=3x+6
• y=6x+3

Multiple Choice

How would you write the equation with a slope of 2/3 and a y-intercept of -3

• y=3/2x+3
• y=2/3-3
• y=2/3x-3
• y=2/3x+3

Multiple Choice

What is the y-intercept in the following equation:  y=-4x-5

• -4
• -4x
• 5
• -5

Multiple Choice

What is the slope in the equation:  y=4x+3

• 3
• 4x
• 4
• x

Multiple Choice

What does "m" represent in y=mx+b?

• y-intercept
• slope
• macaroni
• nothing

Multiple Choice

What is the equation of a line when m = -7 and b = -8?

• y = -7x + 8

• y = -7x - 8

• y = 7x - 8

• y = 7x + 8

Multiple Choice

Which equation matches the graph?

• y= 0.5x - 5
• y= -0.5x - 5
• y= 0.5x + 5
• y= -0.5x + 5

Multiple Choice

Which equation matches the graph?

• y= 3x - 5
• y= -3x - 5
• y= 3x + 5
• y= 3x + 5

Multiple Choice

Which equation matches the graph?

• y= 3x - 5
• y= -3x - 5
• y= 3x + 5
• y= 3x + 5

Multiple Choice

Which equation matches the graph?

• y= 1x + 3
• y= 1x
• y= -1x + 3
• y= -1x

Multiple Choice

Which equation matches the graph?

• y= 1x + 3
• y= 1x
• y= -1x + 3
• y= -1x

Multiple Choice

Which equation matches the graph?

• y= 2x + 5
• y= 2x
• y= -2x + 5
• y= -2x

Multiple Choice

Which equation matches the graph?

• y= 2x + 5
• y= 2x
• y= -2x + 5
• y= -2x