Point-Slope Form of a Line Answers

Which point-slope equation represents a line that passes through (3, –2) with a slope of negative StartFraction 4 Over 5 EndFraction ?

Use the point-slope equation to identify the slope and the coordinates of a point on the line y – 4 = (x – 1).

(–4, –1)(4, 1/2)(1/2, –1)✔ (1, 4)

y – 1 = 3(x + 0)y – 0 = 3(x – 1)✔ y + 1 = (1/3)(x + 2)y + 2 = (1/3)(x + 1)

f(x) = (1/3)x – (5/3)✔ f(x) = (1/3)x – (1/3)f(x) = 3x – 3f(x) = 3x + 1

A tile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. One customer paid a total of $3,000 for 10,000 tiles. The equation y – 3,000 = 0.25(x – 10,000) models the revenue of the tile factory, where x is the number of tiles and y is the total cost to the customer.

0.25✔ 5003,00010,000

✔ (–2, 0)(0, 4)(2, 0)(4, 0)

Hugo decided to pay $2 a week to his brother to buy a bicycle. The equation y – 10 = –2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay.

510✔ 1530