Slope Lesson

Match

Match the following

• slope

  "movement"

• y-intercept

  "beginning"

• y = mx + b

m

b

Slope-Intercept Form

Slope

y-intercept

• m

• b

• Slope-Intercept Form

• Slope

• y-intercept

Multiple Select

Select all that apply: In the $$y=mx+b$$  equation, the m tells us...

• the slope of the line

• the y-intercept of the line.

• where the line crosses the y-axis.

• the rate of change of the line.

• the  $$\frac{rise}{run}$$   of the line.

Slope-Intercept Form

m: slope (rate of change)

b: y-intercept

y: dependent value (output)


x: independent value (input)

Multiple Choice

Which line has a
negative slope?

• Blue
• Red
• Purple
• Green

Multiple Choice

Name the slope; the m value

• 2

• -2

• 1/2

• 1/2x

Multiple Choice

What is the y-intercept in the equation y= -2x + 5

• -2
• 3
• 5
• Cannot be Determined

Multiple Choice

What is the slope in the equation y= -2x + 5

• -2
• 3
• 5
• Cannot be Determined

Multiple Choice

In the equation y=mx+b, what does the "m" represent?

• slope

• linear

• y-intercept

• point-slope

Multiple Choice

What variable represents y-intercept?

• y

• m

• x

• b

Multiple Choice

Which of these represents slope-intercept form?

• y - y₁ = m(x-x₁)

• Ax + By = C

• y = mx + b

Multiple Choice

What is the y-intercept of the line with the equation

y = −2x + 4

• -2

• 2

• -4

• 4

slope intercept form

There are two key facts we need to identify in the graph of a line.

1. slope

2. y-intercept

After we find these, we plug them into the equation.

Multiple Choice

Find the slope of the line.

• -2

• 2

• -1

• 1

Multiple Choice

Find the slope:

• 3/4

• 4/3

• -3/4

• -4/3

Multiple Choice

Find the slope:

• 3/4

• 4/3

• -3/4

• -4/3

Multiple Choice

What is the y-intercept for the given graph?

• -5
• 5
• 1
• -1

Multiple Choice

What is the x-intercept shown on the graph?

• (2, 0)
• (-2, 0)
• (0, 3)
• (3, 0)

Rewriting into Slope-Intercept Form

Multiple Select

What would be the first step to solve $$x-2y=-4$$  for y/get the equation into SLOPE INTERCEPT FORM?

• Subtract x on both sides to get: $$-2y=-4-x$$  

• Add 2y on both sides to get: $$x=-4+2y$$  

• Subtract x on both sides to get: $$2y=-x-4$$  

• Add x on both sides to get: $$-2y=x-4$$  

• Divide by 2 on both sides to get:
  $$x-y=-2$$

Multiple Choice

Which equation is in slope-intercept form?

• $$7y=3x-1$$
  

• $$y=\frac{1}{5}x+8$$

• $$9x-y=12$$

• $$x=7-y$$

Multiple Choice

The equation is now solved for y.

y = ¹/₂x - 5

Which is the graph of this equation?

​Slope Intercept Form

​LET'S REVIEW

Slope is the STEEPNESS of a line.

​

It helps us make predictions and understand proportional relationships.​

​

​What is slope?

​

Multiple Choice

What type of slope?

• zero slope

• undefined

• negative

• positive

Multiple Choice

What type of slope?

• positive

• negative

• zero

• undefined

Multiple Choice

Find the slope of the line below using rise/run.

• $$\frac{2}{3}$$

• $$\frac{3}{2}$$

• 3

• $$\frac{1}{3}$$

Multiple Choice

Find the slope of the line below using rise/run.

• $$\frac{5}{3}$$  

• $$\frac{3}{5}$$  

• 5

• $$\frac{5}{4}$$  

Multiple Choice

The slope slope of this line is...

• $$\frac{-3}{4}$$  

• $$\frac{-2}{5}$$  

• $$\frac{1}{1}$$  

​NEW INFORMATION

The Y intercept is where a line crosses the Y-AXIS.​

​

​The Y Intercept

​

Multiple Choice

What is the Y-Intercept?

• Where a line crosses the Y AXIS

• Where a line crosses the X AXIS

• The slope of a line

Multiple Choice

What is the y-intercept shown on the graph?

• (0, -2)

• (3, 0)

• (0, 3)

• None of these.

Multiple Choice

_{What is the y-intercept of the line?}

• y = 1/2

• y = 1

• y = -1/2

• y = -1

Multiple Choice

What is the y-intercept?

• -2

• 2

• -4

• 4

​NEW INFORMATION

Proportional relationships are written in this form.

​

m = slope

b = y intercercept

​

By using our knowledge of these concepts, we can write formulas for lines!​

​

​

​Slope Intercept Form

​

​Example Slope Intercept Form

​In this example the slope of the line is 3/1 and the y-intercept of the line is 2.

​

SO

​

y = 3x +2​

​TIME TO PRACTICE

Multiple Choice

Identify the slope of the Equation
y=5x+3

• 5

• 3

Multiple Choice

Identify the y-intercept of the equation
y=2x+5

• 2

• 5

Multiple Choice

Which letter in the equation below represents the slope?

y=mx+b

• y

• m

• x

• b

Multiple Choice

Write the equation of the line.

• y = -1/3x - 2

• y = 1/3x - 2

• y = 3x - 2

• y = -3x - 2

Multiple Choice

What is the equation by looking at this graph?

• y= x + 3

• y= -x + 2

• y= 2x + 2

• y= x + 2

Multiple Choice

Which could be the graph of the equation y = 1/3x - 2?