Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

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

Back

The 'm' represents the slope of the line.

Front

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

Back

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

Front

How do you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it passes through the origin (0,0) and is a straight line.

Front

What is the slope of the line represented by the equation y = 4x + 2?

Back

The slope is 4.

Front

If the slope of a line is negative, what does that indicate about the relationship between the two variables?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is the equation of a line with a slope of 2 and a y-intercept of -3?

Back

The equation is y = 2x - 3.

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 = -x + 5?

Back

The y-intercept is 5.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating that the y-value does not change as the x-value changes.