Understanding Linear Equations and Ordered Pairs

This video tutorial explains how to verify if ordered pairs satisfy given linear equations. It covers two examples: y = 2x + 3 and 3x + 2y = 6, demonstrating the process of substitution and simplification to check if pairs are solutions. The tutorial also shows how to graph these pairs on a coordinate plane, forming a straight line, which confirms the linear nature of the equations. The video concludes with a summary of the concepts and verification methods discussed.

What is the slope in the equation y = 2x + 3?

• 4

• 2

• 1

• 3

In the equation y = 2x + 3, what does the number 3 represent?

• Slope

• Y-intercept

• X-intercept

• Coefficient of x

Which ordered pair satisfies the equation y = 2x + 3?

• (1, 4)

• (0, 3)

• (-1, 1)

• (2, 5)

What is the result of substituting x = 1 and y = 5 into the equation y = 2x + 3?

• True

• False

• Cannot be determined

• Not applicable

What shape do the points that satisfy a linear equation form on a graph?

• Straight line

• Parabola

• Ellipse

• Circle

What is the standard form of a linear equation?

• y = mx + b

• y = ax^2 + bx + c

• ax + by = c

• x = ay + b

In the equation 3x + 2y = 6, what is the coefficient of y?

• 2

• 3

• 0

• 6

Which ordered pair is a solution to the equation 3x + 2y = 6?

• (1, 2)

• (-2, 6)

• (0, 3)

• (2, 0)

What is the x-intercept of the equation 3x + 2y = 6?

• (0, 2)

• (3, 0)

• (2, 0)

• (0, 3)

What do the points (-2, 6), (0, 3), and (2, 0) form when graphed for the equation 3x + 2y = 6?

• A straight line

• A rectangle

• A curve

• A triangle