Point Slope Form Word Problem

Violet has an Internet business selling paint sets.  After an initial website fee each week, she makes a profit of $0.75 on each set she sells.  If she sells 8 sets and she makes $2.25; write an equation in point-slope form representing her weekly possible earnings.

• y - 2.25 = 0.75(x - 8)

• y - 8 = 0.75(x - 2.25)

• y - 8 = 2.25(x - 0.75)

• y - 0.75 = 2.25(x - 8)

Since Beth was born, the population of her town has increased at a rate of 850 people per year. On Beth’s 9th birthday, the total population was nearly 307,650. Write an equation in point-slope form to find the population on Beth’s 16th birthday.

• y - 307650 = 850(x - 9)

• y + 307650 = 850(x + 9)

• y - 9 = 850(x - 307650)

• y - 307650 = 9(x - 850)

A climber is on a hike. After 2 hours, he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet.

What is a point-slope equation for the climber?

• y - 700 = 200(x - 6)

• y - 6 = 75(x - 700)

• y - 700 = 300(x - 6)

• y - 700 = 75(x - 6)

At 0 seconds, Mrs. Taylor was 10 feet off the ground. At 5 seconds, she was 20 feet off the ground. Write an equation in point-slope form.

• y - 0 = 2(x - 10)

• y - 0 = 5(x - 10)

• y - 10 = 2(x - 0)

• y - 10 = 6(x - 0)

Given the slope of a line is 2 and the line goes through the point (-4, 8) Create the equation with the information in POiNT-SLOPE FORM. y​ (a)   ​ (b)   =​ (c)   (x ​ (d)   ​ (e)   )

• -

• 8

• 2

• +

• 4

• 6

• 12

After 10 minutes, there was 80 gallons of water left in the pool. After 20 minutes, there was 60 gallons of water left.

Write an equation in point-slope form.

• y + 80 = -2(x + 10)

• y - 80 = -20(x - 10)

• y - 80 = -2(x - 10)

• y - 80 = -20(x - 10)

At a different newspaper, the cost to place an ad for one week are shown. An ad with 3 lines costs $12.75, and an ad with 5 lines costs $17.25. Write an equation in point-slope form.

• y - 12.75 = 4.5(x - 3)

• y - 3 = 4.5(x - 12.75)

• y - 12.75 = 2.25(x - 3)

• y - 3 = 2.25(x - 12.75)

Violet has an Internet business selling paint sets. After an initial website fee each week, she makes a profit of $0.75 on each set she sells. If she sells 8 sets and makes $2.25, write an equation in point-slope form representing her weekly possible earnings.

• y - 2.25 = 0.75(x - 8)

• y - 8 = 0.75(x - 2.25)

• y - 8 = 2.25(x - 0.75)

• y - 0.75 = 2.25(x - 8)

A candlestick burns at a rate of 0.2 inches per hour. After eight straight hours of burning, the candlestick is 13.4 inches tall.

Write an equation in point-slope form to find the original height of the candle.

• y + 13.4 = 0.2(x + 8)

• y - 8 = 0.2(x - 13.4)

• y - 13.4 = 0.2(x - 8)

• y - 13.4 = 8(x - 0.2)

An international calling plan charges a rate per minute plus a flat fee. A 10-minute call to France costs $3.19. A 15-minute call to France costs $4.29.

Write an equation in point-slope form.

• y + 3.19 = 0.22(x + 10)

• y - 10 = 0.22(x - 3.19)

• y - 3.19 = 10(x - 0.22)

• y - 3.19 = 0.22(x - 10)