Slope Intercept Given Two Points Word Problems

A plumber charges $25 for a service call plus $50 per hour of service. What information is given and what equation should you use?

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

• A slope and a 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.B.6

CCSS.8.F.A.3

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.

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation to represent the given situation.

• y = -0.5x + 34

• y = -34x + 0.5

• y - 34 = 0.5(x - 1)

• 34x - 0.5y = 33.5

Tags

CCSS.6.EE.C.9

Write an equation in slope-intercept form from the points (0, 3) and (-4, -1): (a)  

• y = x + 3

• y =  x - 3

• y = x + 1

• y = 3x + 1

Write an equation in slope-intercept form from the points (-4, -2) and (-3, 5)

• y = 1/7x

• y = 1/7x + 26

• x = 7y + 26

• y = 7x + 26

What is the slope-intercept form of the equation that passes through the points (1, 7) and (0, −9)?

• y = 1/2x − 9

• y = 16x − 9

• y = -1/2x − 9

• y = =16x − 9

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. What information is given and what equation should you use?

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

• A slope and a 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; Ax + By = C

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

This problem:

• gives you a rate of change (slope) and a starting point (y-intercept)

• relates two different objects

• gives you a rate of change (slope) and a sample point (x,y)

Tags

CCSS.HSF-LE.A.1B

A sign says that 3 tickets cost $22.50 and that 7 tickets cost $52.50. Which equations in point-slope form would represents the cost of tickets? Select all that apply.

• y - 22.50 = 7.50(x - 3)

• y - 52.50 = 7.50(x - 7)

• y = 7.50x

• y + 22.50 = 7.50(x + 3)