Understanding Linear Equations and Graphs

The video covers Math 8 Unit 3 Lesson 13, focusing on solutions to linear equations. It explains how to determine if a point is a solution by checking if it lies on the line. The lesson includes activities like true or false questions about graphs, partner activities, and practice problems. It also covers finding x and y intercepts, slopes, and matching graphs with real-life situations. The video concludes with a summary of key concepts and a review of homework assignments.

What does it mean for a point to be a solution to a linear equation?

• The point is not related to the line represented by the equation.

• The point is below the line represented by the equation.

• The point is above the line represented by the equation.

• The point lies on the line represented by the equation.

If you have the equation y = 2x + 3, and the point (1, 5), is this point a solution?

• No, because 5 equals 2 times 1 minus 3.

• Yes, because 5 equals 2 times 1 minus 3.

• No, because 5 does not equal 2 times 1 plus 3.

• Yes, because 5 equals 2 times 1 plus 3.

When solving the equation 6x = 7y for y, what is the value of y when x = 1?

• y = 6/7

• y = 7/6

• y = 1/7

• y = 7

In a true or false activity, if a point is not on the line, what can be concluded?

• The point is a solution to the equation.

• The point is not a solution to the equation.

• The point is irrelevant to the equation.

• The point is a potential solution.

What is required for a point to be a solution to a linear equation?

• Both x and y values are needed.

• Only a y-value is needed.

• Only an x-value is needed.

• No values are needed.

How do you find the x-intercept of a linear equation?

• Set x to one and solve for y.

• Set both x and y to zero.

• Set x to zero and solve for y.

• Set y to zero and solve for x.

What is the slope of a line if the equation is given as ax + by = c?

• c/b

• c/a

• b/a

• a/b

Which graph best represents the weight of a kitten over time?

• A graph starting at zero and decreasing.

• A graph starting above zero and increasing.

• A graph starting above zero and decreasing.

• A graph starting at zero and remaining constant.

If a car is driving at a constant rate, which graph represents the distance left to travel?

• A graph starting at zero and remaining constant.

• A graph starting above zero and increasing.

• A graph starting above zero and decreasing.

• A graph starting at zero and increasing.

What does the point (0, 0) represent on a graph of a linear equation?

• A random point

• The origin

• The x-intercept

• The y-intercept