Find the...
Write the Equation
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Word Problems
100

Find the y-intercept.

Y-Intercept = 7

100

Write the equation for the graph in y-intercept form.

y = 1/2x + 5

100

Graph 

y = 2x - 4

(See Whiteboard)

100

Which of the following equations is equivalent to  

𝑦 = 2(𝑥 − 4) + 9? 

A) y = 2x - 1 

B) y = 2x - 17

C) y = 2x + 1

D) y = 2x + 5

C

200

Find the slope.

Slope = 5/4

200

Write the equation of the line through the point (2, 9) with a slope of  4.

y = 4x + 1

200

Graph 

y = -3/5x + 2

(See Whiteboard)

200

Out of the following equations, which 2 equations represent the same line?

A) y = -4(x+3)       D) y = 3/4x + 3

B) y = -3/4x + 3    E) y= -3/4x + 12

C) 3x + 4y = 12     F) 4y = 3x + 16

B & C

300

Find the slope.

Slope = 

1/2

300

Write the equation of the line through the point (-4, -9) with a slope of  -1/4.

y = -1/4x - 10

300

Graph 

y - 3 = -2(x + 1)

y = -2x + 1

(See Whiteboard)

300

Your brother Liam is having his graduation this summer and he has asked you to help him select a photographer for the big event. You called around and found that Penelope the Photographer charges a $100.00 setup fee, plus $12.25 per hour. You discover Jessie's Jumpin' Photos has a $108.00 setup fee, plus $10.00 per hour.


You plan to have the photographer take pictures for 4 hours. Liam claims that Penelope the Photographer will be the better deal. Is Liam correct?  Support your reasoning. Liam is correct/incorrect, because…

Liam is incorrect because Penelope will charge $149 and Jessie will only charge $148.

400

Find the slope & y-intercept.

Slope = 

-3/4

Y-Intercept = 6

400

Write the slope-intercept form of the equation of a line that goes through the points (-2, 7) and (2, 1).

y = -3/2x + 4


400

Graph 

3x + 6y = 18

y = -1/2x + 3

(See Whiteboard)

400

Free Points :O

:)

500

Find the slope & y-intercept.

Slope = -3

Y-Intercept = -4

500

Write an equation of a horizontal line and give three points on your line.

y = 2

(0, 2), (4, 2), (-4, 2)

500

-5(x + y) + 7 = 7

y = -1x

(See Whiteboard)

500

A kayak rental company rents kayaks to use at the lake. They charge an initial fee plus $3 for each hour the bike is rented. Chloe rented a kayak for 5 hours and was charged $20. Let x represent the number of hours and y represent the total cost of the rental.


A) What is the slope-intercept equation of the line that fits this information?


B) If Chloe wants to rent a bike for 3 hours, how much should she expect to pay?  
             

C) If Chloe has $50, how long can she rent a bike?

A) y = 3x + 5


B) $14


C) 15 hours