Linear Equations from Two Points

Mr. P goes to the comic book store and purchases issues of Justice League and X - Men. Justice league comics are priced at $4.99 each, and X - Men comics are priced at $3.99 each. He spent $36.92. 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

Tags

CCSS.8.EE.C.8C

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.

When an individual rides in a taxi for 20 miles, it costs them $21. Another individual rides in the same taxi for 30 miles and pays $26.50. What information is given and which equation should you use?

• A slope and y - intercept is given; use y = mx + b.

• A slope and y - intercept is 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.

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

(Hint: 2 points are given, but convert to slope-intercept form)

• y = 25x + 100

• y = 5x + 50

• y = 10x - 75

• 100x + 175y = 35

A car rental company charges $164 for renting a vehicle for 2 day. They also charge $198 for renting a vehicle for a total of 4 days. Write an equation to represent the given situation.

(Hint: two-points are given, but convert to slope-intercept form).

• y = 2x + 164

• y = 17x +130

• y = 34x + 62

• 4x + 164y = 198

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

To serve 1 person at a local restaurant takes 10 minutes. To serve 5 people, it takes 18 minutes. What is an equation that relates minutes and how many people served?

(Hint: two-points are given, but convert to slope-intercept form).

• y = 1/2x + 10

• y = 2x + 10

• y = 2x + 8

• y = 1/2x + 9.5

The cost for 7 dance lessons is $82. The cost for 11 dance lessons $122. What is an equation that relates the dance lessons for cost?

(Hint: two-points are given, but convert to slope-intercept form).

• y = 10x + 82

• y = 10x + 12

• y = 1/10x + 12

• y = 1/10x + 82

Tags

CCSS.6.EE.C.9