Point-Slope Form of a Line: Assignment

Andy wrote the equation of a line that has a slope of 3/4 and passes through the point (3, -2) in function notation Step 1: y - (-2) = 3/4 (x - 3) Step 2: y + 2 = 3/4x - 9/4 Step 3: y + 2 + 2 = 3/4x -9/4 + 2 Step 4: y = 3/4x - 1/4 Step 5: f(x) = 3/4x -1/4 Analyze each step to identify if Andy made an error.

C. Yes, he made an error in Step 3. He should have subtracted 2 from both sides.

Which point-slope equation represents a line that passes through (3, -2) with a slope of -4/5

C. y + 2= -4/5(x-3)

Use the graph to find the x-intercept for the equation y + 2 = 2(x + 3). The x-intercept is _____

(-2, 0)

Use the point-slope equation to identify the slope and the coordinates of a point on the line y - 4= 1/2 (x-1). The slope of the line is ______ A point on the line is ________

Blank one: m = 1/2 Blank two: (1, 4)

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. Which function describes the revenue of the tile factory in terms of tiles sold? What is the flat fee for delivery?

1. f(x) = 0.25x + 500 $500

Use the graph of the line to answer the questions. What is an equation of the line in point-slope form? How can the point-slope form be written in function notation?

1. y+2=(1/3)(x+1) 2. f(x)=(1/3)x-(1/3)

Choose a linear function for the line represented by the point-slope equation y - 5 = 3(x - 2).

B. f(x) = 3x - 1

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. How much did the bicycle cost? After how many weeks will Hugo finish paying for the bike?

$30 15

What is the equation of the line in point-slope form? y + 4 = (x + 4)

A. y + 4 = 1/2(x+4)

What is the y-intercept of the graphed linear function?

D. (0, 4)

Which graph represents the function y - 3 = 3/2(x-4)?

Graph One