Modeling Linear Equations with Desmos

The video tutorial demonstrates how to find the equation of a straight line using Desmos. It begins by inserting a table with points and explains the process of calculating the gradient and forming the line equation. The tutorial models the equation using y1, M1, and c1, and concludes by identifying the gradient and y-intercept of the line.

What is the main objective of this session?

• To explore the properties of circles

• To find the equation of a straight line using Desmos

• To understand the concept of derivatives

• To learn how to solve quadratic equations

What is the first step in finding the equation of a line in Desmos?

• Insert a table with points

• Find the midpoint of a line

• Insert a graph

• Calculate the area under the curve

Which points are used in the example to find the line equation?

• (1, 2) and (3, 4)

• (3, 5) and (6, 9)

• (0, 0) and (1, 1)

• (2, 3) and (4, 5)

What is the general form of the equation of a straight line?

• y = x^2 + y^2 = r^2

• y = a/x

• y = ax^2 + bx + c

• y = mx + c

What is the purpose of calculating the gradient in the line equation?

• To find the midpoint of the line

• To determine the slope of the line

• To find the y-intercept

• To calculate the area under the line

In Desmos, what symbol is used to approximate the gradient and y-intercept?

• Equal sign (=)

• Approximation symbol (~)

• Greater than symbol (>)

• Less than symbol (<)

What variable is used in place of 'y' when modeling the equation in Desmos?

• y1

• y3

• y2

• y0

How do you input a subscript in Desmos?

• Type the number after the variable

• Use the underscore symbol

• Type the variable and number together

• Use the caret symbol

What is the role of 'c1' in the equation modeled in Desmos?

• It represents the gradient

• It is the midpoint

• It is the x-coordinate

• It is the y-intercept

What does the gradient of a line indicate?

• The y-intercept of the line

• The slope or steepness of the line

• The length of the line

• The midpoint of the line