Slope Intercept Form

Lesson 9.3

Slope Intercept Form

Definition:

Slope Intercept Form: This is a function, or equation, used to represent a line.
y-intercept: Where the line crosses the y-axis

y = mx + b

Where m is the slope

b is the y-intercept

and x, y represent (x, y) coordinates

​Visual:

​What is the equation of the line?

Multiple Choice

What is the equation of the line?

• y = 3x + 2

• y = 2x + 3

• y = -2x + 3

• y = -3x + 2

Multiple Choice

What is the equation of the line?

• y = 2x + 1/2

• y = 1/2x + 2

• y = -1/2x + 2

• y = -1/2x - 2

​What is the equation of a line with points (1,5) and (4,8)?

Multiple Choice

What is the equation of a line with points (9,9) and (10,14)?

• y = 9x + 9

• y = 10x + 14

• y = 5x + 9

• y = 5x - 36

Multiple Choice

What is the equation of a line with points (3,7) and (8,17)

• y = 3x + 7

• y = 7x + 17

• y = 2x + 1

• y = 2x + 12

​Tina started off with $300 in her bank account and deposits $45 per month.

The equation y = 45x + 300 can be used to model this situation. How much money will Tina have in her bank account after 10 months?

How many months will it take for Tina to have over $2000?

Multiple Choice

Joshua starts at an elevation of 5000ft above sea level. He jumps out of a plane and descends at a rate of 100 feet per second.

The equation y = -100x + 5000 can model this situation.

After 5 seconds what will be Joshua's elevation?

• 5500 ft

• -5500 ft

• 4500 ft

• -4500 ft

Multiple Choice

Joshua starts at an elevation of 5000ft above sea level. He jumps out of a plane and descends at a rate of 100 feet per second.

The equation y = -100x + 5000 can model this situation.

How many seconds will it take for Joshua to land at sea level?

• 10 seconds

• 50 seconds

• 500 seconds

• 5000 seconds

​Conclusion: Write two complete sentences about what you learned, and rate yourself 1-4.