Unit 8 - Linear Relationships Review

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It can be described by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if it can be expressed as y = kx, where k is a constant. In a proportional relationship, the y-intercept (b) is 0.

Front

How can you determine if a relationship is non-proportional?

Back

A relationship is non-proportional if the y-intercept (b) is not equal to 0. This means that the line will cross the y-axis at a point other than the origin.

Front

What is the slope of a line?

Back

The slope of a line (m) represents the rate of change of y with respect to x. It is calculated as the rise over run, or the change in y divided by the change in x.

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If any vertical line intersects the graph at more than one point, the graph does not represent a function.

Front

What does the horizontal line test determine?

Back

The horizontal line test determines if a function is one-to-one. If any horizontal line intersects the graph at more than one point, the function is not one-to-one.

Front

How do you find the height of a building using a ladder problem?

Back

Use the Pythagorean theorem: a^2 + b^2 = c^2, where c is the length of the ladder, a is the height of the building, and b is the distance from the wall.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship is y = kx, where k is a constant that represents the constant rate of change.

Front

What is the equation of a non-proportional relationship?

Back

The equation of a non-proportional relationship can be expressed as y = mx + b, where b is not equal to 0.