Connecting Equations to Graphs

Connecting Equations to Graphs

slope, y & x intercept, standard form, slope intercept form

Multiple Choice

How do we find the slope?

• run over rise

• up over down

• rise over beginning

• rise over run

Multiple Choice

What type of slope?

• positive

• negative

• no slope (undefined)

• zero

Multiple Choice

What type of slope?

• positive

• negative

• no slope (undefined)

• zero

Multiple Choice

What type of slope is shown?

• positive

• negative

• zero

• undefined

Multiple Choice

What type of slope is shown?

• positive

• negative

• zero

• undefined

Multiple Choice

What is the slope?

• Positive
• Negative
• Zero
• No Slope

Multiple Choice

What is the slope?

• Positive
• Negative
• Zero
• Undefined

Multiple Choice

What is the slope?

•  $\frac{3}{2}$  

•  $-\frac{3}{2}$  

•  $\frac{2}{3}$  

•  $-\frac{2}{3}$  

Multiple Choice

Find the slope of the line.

• $\frac{3}{4}$

• $-\frac{3}{5}$

• $\frac{5}{3}$

• $-\frac{4}{3}$

Multiple Choice

Find the slope. You will need to consider how you would draw your own triangle.

• $\frac{4}{6}$

• $\frac{3}{4}$

• $\frac{5}{4}$

• $\frac{4}{3}$

Multiple Choice

Find the slope

• -5/3

• -3/5

• 5/3

• 3/5

Multiple Choice

When converting the equation

2x + 4y = 8

into slope-intercept form, the first step to solve for y would be to ____________.

• subtract 2x from each side

• subtract 4y from each side

• add 2x to each side

• add 4y to each side

Multiple Choice

After subtracting 2x from each side, the resulting equation is shown below:

2x + 4y = 8

4y = -2x + 8

The final step to solve for y would be to ____________.

• divide each term by 4

• divide each term by -4

• add 4 to each side

• subtract 4 from each side

Multiple Choice

When converting the equation

2x - 3y = -9

into slope-intercept form, the first step to solve for y would be to ____________.

• subtract 2x from each side

• subtract 3y from each side

• add 2x to each side

• add 3y to each side

Multiple Choice

After subtracting 2x from each side, the resulting equation is shown below:

2x - 3y = -9

- 3y = -2x - 9

The final step to solve for y would be to ____________.

• divide each term by -3

• divide each term by 3

• add 3 to each side

• subtract 3 from each side

Multiple Choice

Solve for y

5x + y = -10

• y = 5x + 10

• y = -5x - 10

Multiple Choice

Solve for y:

2x + 2y = 6

• y = - x + 3

• y = x + 3

• y = 2x +6

• y = - 2x + 6

Multiple Choice

what is the slope of the following 12x - 6y = 30

• 2

• -2

• 12

• -12

Multiple Choice

What is the slope of the line represented by  $-8x-4y=-12$  

•  $\frac{1}{2}$  

•  $2$  

•  $-2$  

•  $-\frac{1}{2}$  

Multiple Choice

What is the slope of the line represented by  $5x-9y=14$  

•  $5$  

•  $\frac{5}{9}$  

•  $\frac{9}{5}$  

•  $-9$  

Multiple Choice

Give the y-interecept (0,y)

3x + y = 5

• (-3, 0)

• (0,5)

• (5, 0)

• (0, -3)

Multiple Choice

Determine the y-intercept for the following equation

4x + 2y = -12

• 4

• -6

• -12

• 2

Multiple Choice

Determine the slope and y-intercept from the following equation:

4x + y = -10

• slope: 4 y-intercept: 10

• slope: -4 y-intercept: -10

• slope: -4 y-intercept:10

Multiple Choice

What does 'b" represent in y=mx+b

• y-intercept

• beans

• nothing

• slope

Multiple Choice

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

• y-intercept

• slope

• macaroni

• nothing

Multiple Choice

Name the slope

• 2
• -2
• 1/2
• 1/2x

Multiple Choice

Name the y intercept

• -1
• 7
• -1x
• -7

Multiple Choice

Name the slope

• 3
• 1
• -1x
• -1

Multiple Choice

What is the y-intercept of the line with the equation
 $y\ =\ -2x\ +\ 4$  

•  $-2$  

•  $2$  

•  $4$  

•  $-4$  

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

Slope in context

Since slope is  $\frac{rise}{run}$  , rise is y units, and run is x units. Therefore, when in context, slope is: 

 $\frac{y\ units}{x\ units}$  

Multiple Choice

What does the slope represent in this situation?

• It takes 6 minutes for the sloth to go 1 foot

• The sloth runs 3 feet in 1 minute

• The sloth runs fast

• The sloth runs 6 feet in 1 minute

Multiple Choice

The graph shows the number of newspapers delivered and total pay for Leona’ newspaper delivery job.

What does the slope of this graph represent?

• The cost per newspaper

• The total cost of 20 newspapers

• The number of miles Leona travels

• The cost per mile

Multiple Choice

The graph represents gasoline consumption when driving a certain distance in km. What is the meaning of the slope?

• The tank started with 50 L of gasoline

• the amount of gasoline consumed per km driven

• the distance it takes to lose a Liter of gas

• the gasoline is leaking because the slope is negative.

Multiple Choice

Which statement matches the graph?

• Taylor can write 6 words per minute

• Taylor can write 25 words per minute

• Taylor can write 25 minutes per word

• Taylor can write 150 words per minute

Multiple Choice

The ___________ is the point where a line crosses the x-axis.

• y-intercept

• x-intercept

• domain

• range

Multiple Choice

The y-intercept is the point where a line crosses the ___________.

• x-axis

• origin

• y-axis

• x-intercept

Multiple Choice

^{What is the x- intercept of the line? Where the line crosses the x-axis}

• (1, 0)

• (2, 0)

• ( -1, 0)

• (-2, 0)

Multiple Choice

Name the y intercept. Where the line crosses the y-axis

• 4

• -1

• 1

• -4

Multiple Choice

Identify the x-intercept of the graph.

• (-4, 0)

• (0, -2)

• (0, -4)

• (-2, 0

Multiple Choice

Identify the y-intercept of the graph.

• (0, 3)

• (-1, 0)

• (0, -1)

• (3, 0)

Multiple Choice

The graph shows the height of a candle after a given number of minutes. How long did it take for the candle to totally burn?

• 30 minutes

• 60 minutes

• 80 minutes

• 100 minutes

Multiple Choice

What is the meaning of the y-intercept?

• Colby's initial deposit was $100.

• Colby's initial deposit was $150

• Colby is adding $5 per week

• Colby is adding $10 per week

Multiple Choice

The equation c = 0.20t + 3.50 shows the relationship between the charge c in dollars for renting a kayak for t minutes. What is the meaning of the y-intercept?

• It costs $3.50 per minute to rent a kayak.

• For $0 you can rent a kayak for 3.5 minutes.

• Every 3.50 minutes, you have to pay $1.00.

• You have to pay $3.50 up front before using the kayak.

Multiple Choice

What does the x-intercept of the graph represent?

• The number of cookies the presenter had before making any presentations

• The maximum number of presentations the presenter made before running out of cookies

Multiple Choice

What does the y-intercept represent?

• The amount of each deposit made

• The initial amount of money in the savings account

• The number of deposits made

• The amount of money in the savings account after 50 deposits

Multiple Choice

Write the equation of the line. 1st find the slope, then find the y-intercept

• y = -1/3x - 2

• y = 1/3x - 2

• y = 3x - 2

• y = -3x - 2

Multiple Choice

Write the equation of the line. 1st find the slope (m), then find the y-intercept (b)

• y = -2/3x + 4

• y = 2/3x + 4

• y = 3/2x + 4

• y = -3/2x + 4