Slope and Function Notation Concepts

The video tutorial explains how to write a linear function given two points. It starts by introducing the concept of linear functions and the importance of inputs and outputs. The tutorial then demonstrates how to calculate the slope using the formula (Y2 - Y1) / (X2 - X1) with the given points. After finding the slope, the point-slope formula is used to derive the equation of the line. Finally, the equation is converted into function notation, completing the process of writing the linear function.

What is the main goal of the example discussed in the video?

• To solve a quadratic equation

• To find the intersection of two lines

• To write a linear function given two points

• To find the slope of a line

What does the input '3' correspond to in the function?

• An output of 3

• An output of -2

• An input of -12

• An output of 4

How are inputs and outputs represented in terms of coordinates?

• Inputs as y's and outputs as x's

• Inputs as x's and outputs as y's

• Both inputs and outputs as x's

• Both inputs and outputs as y's

What is the output when the input is -12?

• 4

• -2

• -12

• 3

What is the formula used to calculate the slope?

• Y1 - y2 / X1 - X2

• Y1 + y2 / X1 + X2

• Y2 - y1 / X2 - X1

• Y2 + y1 / X2 + X1

What is the calculated slope of the line?

• 6/15

• -6/15

• -15/6

• 15/6

What is the result of 4 + 2 in the slope calculation?

• 6

• 8

• 2

• 4

What is the denominator in the slope calculation?

• -15

• 15

• 3

• -12

Which formula is used to create the equation of the line?

• Distance formula

• Slope-intercept formula

• Point-slope formula

• Quadratic formula

What point is used in the point-slope formula?

• (-12, 4)

• (3, 4)

• (-12, -2)

• (3, -2)