Graphing Equations by Plotting Points: Part 1

This video tutorial explains how to graph equations by plotting points on a coordinate plane. It begins with an introduction to graphing, followed by a definition and example using the equation Y = 2X + 1. The tutorial then covers another example with the equation 3X + 5Y = 10, highlighting the use of fractions. Finally, it provides instructions on using a graphing calculator to visualize equations and verify plotted points.

What is the main goal of the video?

• To solve equations algebraically

• To graph equations by plotting points

• To understand trigonometric functions

• To learn about calculus

What does the graph of an equation represent?

• All points on the x-axis

• All possible values of x

• All possible values of y

• All ordered pairs that are solutions of the equation

What are the coordinates of the ordered pair when x = -2 for the equation y = 2x + 1?

• (-2, -1)

• (-2, -3)

• (-2, 1)

• (-2, 3)

What is the y-value when x = 1 for the equation y = 2x + 1?

• 1

• 2

• 3

• 4

What is the equivalent equation of 3x + 5y = 10 when solved for y?

• y = 3/5x + 2

• y = -3/5x + 2

• y = 5/3x + 2

• y = -5/3x + 2

What x-values are chosen to graph the equation 3x + 5y = 10?

• -1, 0, 1

• -3, 0, 3

• -2, 0, 2

• -5, 0, 5

What is the y-value when x = 0 for the equation y = -3/5x + 2?

• 1

• 0

• 3

• 2

What should you do to ensure the graphing calculator reads the fraction form of the coefficient correctly?

• Enter the fraction as a decimal

• Enter the fraction with parentheses

• Enter the fraction as a whole number

• Enter the fraction without parentheses

What is the purpose of using a graphing calculator in this context?

• To find the roots of the equation

• To visualize the graph and verify points

• To solve equations algebraically

• To calculate the slope

What happens if you do not pick multiples of the denominator when graphing the equation y = -3/5x + 2?

• The y-coordinates will be in decimal form

• The x-coordinates will be incorrect

• The graph will be a curve

• The equation will not be solvable