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 does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line, which indicates the rate of change of y with respect to x.

Front

What does 'b' represent in the equation y = mx + b?

Back

'b' represents the y-intercept, which is the point where the line crosses the Y-axis.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the line represented by the equation y = 2x + 5?

Back

The y-intercept is 5, which means the line crosses the Y-axis at the point (0, 5).

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in y as x changes.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

What is the equation of a line that passes through the point (0, -3)?

Back

The equation can be written as y = mx - 3, where m is the slope.

Front

How can you determine if a relationship is linear from a table of values?

Back

If the differences between the y-values are constant for equal intervals of x, the relationship is linear.

Front

What is the slope of the line represented by the equation y = 3x + 4?

Back

The slope is 3.