What is standard form? (linear functions)

​Unit 5 Warm Up, Day 3 Benchmark Review #6-7

Multiple Choice

A bike rental company charges a nonrefundable deposit of $15 for a bike rental plus $5 for every day of the rental, where each portion of a day is rounded to a full day. A rental can last for no less than 1 day and no more than 2 weeks, and f(x) represents the total cost of the rental, where x represents the number of days the rental lasts.

What is the appropriate domain for the situation, when graphed on a coordinate plane?

• $$20\le x\le85$$

• {20, 25, 30, 35, 40, 45, 50,

  55, 60, 65, 70, 75, 80, 85}

• {1, 2, 3, 4, 5, 6, 7, 8,

  9, 10, 11, 12, 13, 14}

• $$1\le x\le14$$

Fill in the Blanks

An artist spends 15 hours creating a painting that is sold by a gallery owner for $700. The gallery owner wants to make a profit of at least $250 and plans to pay the artist x dollars per hour the artist spent creating the painting.

The inequality $x\le q$ represents th possible dollars per hour the gallery owner can pay the artist. What is the value of q?

Key Features of Linear

Functions in Standard Form

What is Standard Form?

What is Standard Form?

Standard form of a linear function is

​A, B, and C are all integers.




Example: 2x + 3y = 12

Match

Question: Can you identify which part of 4x - 2y = 8 represents A, B, and C?

• A

• B

• C

4

-2

8

• 4

• -2

• 8

What is the X-Intercept?

●X-intercept is where the line crosses the x-axis

●To find it, set y = 0 and solve for x

Fill in the Blanks

In the equation $3x+2y=12$ , what is the x-intercept?

What is the Y-Intercept?

●Y-intercept is where the line crosses the y-axis

●To find it, set x = 0 and solve for y

​The formula for y-intercept is:  

Fill in the Blanks

For the equation $4x-5y=20$ , what it the y-intercept?

What is the Slope?

Slope represents the steepness of the line

Fill in the Blanks

What is the slope of the line $6x+3y=18$

How to Graph?

●Find x and y intercepts

●Plot these points on the coordinate plane

●Connect the points with a straight line

Graphing

If a line has an x-intercept of (4,0) and a y-intercept of (0,3), can you sketch this line?