Write Linear Equations from Graphs, Tables, and Verbal, A.2C(R)

Write Linear Equations from Graphs, Tables, & Verbal Descriptions

​TEKS A.2C (R)

Multiple Choice

Find the slope of the graph

• 4/5

• 5/4

• -5/4

• -4/5

Multiple Choice

What is the y-intercept of the line graph?

• 3

• 4

• -3

• 4/3

Multiple Choice

Write the equation of the line.

• y = x + 1

• y = x - 1

• y= -x + 1

• y= -x - 1

Multiple Choice

Which is the graph of y= -x + 2? 

• A

• B

• C

• D

Multiple Choice

Which equation represents the graph?

• y= 200x + 50

• y = 50x + 250

• y = x + 200

• y = 50x + 200

Multiple Choice

What is the slope of the equation y - 2 = -6( x + 6)

• 2

• 6

• -2

• -6

Multiple Choice

Given y + 6 = 10(x - 9), what is the point used to write this equation?

• (10, 9)

• (6, -9)

• (-6, 9)

• (9, -6)

Multiple Choice

What is the equation of the line in point slope form given a slope of -12 and a point of (-4, -5)?

• y - 5 = -12(x - 4)

• y + 4 = -12(x + 5)

• y + 5 = -12(x + 4)

• y - 12 = -4(x + 5)

Multiple Choice

Which is an equation for the graphed line?

• y − 2 = 1/2(x − 3)

• y − 3 = 1/2(x − 2)

• y − 2 = 2(x + 3)

• y + 3 = 2(x + 2)

Multiple Choice

Which is an equation for the graphed line?

• y − 3 = -1/2(x + 1)

• y − 3 = 1/2(x − 1)

• y − 1 = 2(x + 3)

• y + 1 = -1/2(x + 3)

Multiple Choice

Which is an equation for the graphed line?

• y + 1 = -2(x − 3)

• y − 3 = -2(x − 1)

• y − 1 = -2(x + 3)

• y + 3 = -2(x + 1)

​Writing the Equation of a Table:

​Steps:
1.) Find the slope.
2.) Plug in the slope (m) and a point (x, y) into the Slope-Intercept formula (y = mx + b).
3.) Solve for b.
4.) Re-write equation (plug in m and b).

​Example:

Or you can use the Calculator Method!

1.) Go to the Home Screen and create a New Document. Answer No to the save question.
2.) Press 4 for Add Lists & Spreadsheets.
3.) Scroll up to the A column and type x; Then type y in the B column.
4.) Type your 2 points in the table.
5.) Press Menu/4-Statistics/1-Stat Calculations/3-Linear Regression, mx+b
6.) Double click under the X-list to select x; then click on the Y-list to select y.
7.) Press Enter. The calculator will tell you the m (slope) and b (y-intercept).

Multiple Choice

What is the equation of the table?

• $$y=3x-1$$

• $$y=-9x-1$$

• $$y=\frac{1}{3}x+2$$

• $$y=-\frac{1}{3}x-9$$

Multiple Choice

What is the equation of the table?

• $$y=4x+1$$

• $$y=\frac{1}{4}x-3$$

• $$y=-x+9$$

• $$y=-3x-1$$

Multiple Choice

What is the equation of the table?

• $$y=\frac{3}{5}x-1$$

• $$y=\frac{2}{5}x$$

• $$y=\frac{2}{5}x-1$$

• $$y=-x-3$$

Multiplication Key Words:

If you can tell that a number is being multiplied, then that number is your slope, m, because y = mx + b.

• ​Each

• Every

• Per

• Monthly/Hourly/Annually/Daily

• Of

• Rate/Rate of Change

Addition/Subtraction Key Words:

If you can tell that a number is being added or subtracted, then that number is your y-intercept, b, because y = mx + b.

• ​Starting point

• Initial value

• Add/plus

• Increase

• Together

• Deposit (+)

​Addition:

​Subtraction:

• ​Difference

• Less than

• Deduct/withdraw

• Decrease

• Left

• Remaining

• Discount

Multiple Choice

If chocolate chip cookies cost $3.00 per cookie plus $2 for boxing them up in a decorated box, what would the expression be?

• 3 + 2x

• 3x + 2

• 3x + 2x

• 5x

Multiple Choice

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.

• h = 2C + 15

• C = 15h + 2

• h = 15C + 2

• C = 2h + 15

Multiple Choice

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven.  What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

• 222.5 = m(35 + 0.75)

• 222.5 = 35 + 0.75m

• 222.5 = 0.75 + 35m

• 222.5 = 0.75(m + 35)

Multiple Choice

A holiday meal cost $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs(y), including delivery, for x people?

• y = 12.50 + 30x

• y = 30 + 12.50x

• y = 12.50 + 30

• 12.50x = 30

Poll

Are you Clear or Cloudy on this lesson?

• I am Clear. I could teach this to others.

• I am Cloudy. I should re-do this lesson.