Linear Equations from Two Points

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)

When 4 people attend the movie theater, it costs $23.96. When 7 people attend the movie theater, it costs $41.93. What information is given and which equation should you use?

• A slope and y - intercept are given, use y = mx + b.

• A slope and y - intercept are given, use y - y1 = m(x - x1).

• Two points are given; use y - y1 = m(x - x1).

• Two different items that add to a total are given; use Ax + By = C.

You and your friends go to the movies and purchase some popcorn and Pepsi. Popcorn is sold for $4.99 per bag and Pepsi is sold for $1.99 per bottle. You each chip in to pay $24.92. Write an equation to represent the given situation.

• y = 1.99x + 4.99

• y = 4.99x + 24.92

• y - 1.99 = 4.99(x - 24.92)

• 1.99x + 4.99y = 24.92

Tags

CCSS.6.EE.C.9

A caterer charges $100 to cater a party for 10 people and $175 for 25 people. Write an equation for the given situation.

• y = 25x + 100

• y - 100 = 5(x - 10)

• y - 175 = 10(x - 25)

• 100x + 175y = 35

Tags

CCSS.6.EE.C.9

What is the equation of the line that goes through the points ( 3, - 1 ) and ( 2, - 4 )?

• y = 3x - 4

• y = - 3x + 8

• y = 3x - 1

• y = 3x - 10

Margo is taking a 160-point history test

that has a total of 50 questions. Some of the

questions are worth 6 points each, and the others

are worth 2 points each. Which system of linear

equations could be used to find, s, the correct

number of six-point questions, and t, the correct

number of two-point questions answered

correctly?

• s + 6 = 160

  6t + 2s = 50

• 6s = 2t

  s + t = 160

• 6s = 2t

  6s + 2t + 50 = 160

• s + t = 50

  6s + 2t = 160

Tags

CCSS.8.EE.C.8C

When given two points and asked to write an equation, what is your first step?

• Find the slope

• Find the y-intercept

• Find the x-intercept

• Write the equation

Write the equation of the line that passes through the points (-2, -1) and (0, 5).

• y = 3x - 5

• y = 1/3x + 5

• y = 3x + 5

• y = 1/3x

Which equation has a line that would pass through both (8, 5) and (9, −1) ?

• y = 6x + 53

• y = −6x - 53

• y = (−4/5)x + 53

• y = −6x + 53

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

• C = 15 + 0.20x

• C =15 (0.20x)

• C = 15 + x + 0.20

• C = 0.20 + 15x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2