Non-Proportional Relationships / Slope

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. In the equation y = mx + b, b represents the y-intercept.

Front

What is the simple definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as rise over run (rise/run).

Front

If Bob has $150 in his savings account and saves $40 per month, how can this situation be represented as an equation?

Back

The equation is y = 40x + 150, where y is the total amount saved after x months.

Front

What is the y-intercept in the equation y = -2x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

To go to the park, it costs $4 plus $3 per child. Which equation shows this situation?

Back

The equation is y = 3x + 4, where y is the total cost and x is the number of children.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

What does a negative slope indicate about a line?

Back

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

Front

What is the formula for calculating slope between two points (x1, y1) and (x2, y2)?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What does it mean if a slope is undefined?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in x (x2 - x1 = 0).

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.