Linear Relationships Review

Front

What does the y-intercept represent in a linear graph?

Back

The y-intercept represents the value of y when x is 0, indicating the starting point of the relationship on the graph.

Front

What is the equation of a linear relationship where the account starts at $50 and $3 is withdrawn each day?

Back

A = 50 - 3d

Front

What does the slope of a linear equation represent?

Back

The slope represents the rate of change of y with respect to x, indicating how much y increases or decreases for each unit increase in x.

Front

What is the slope in the equation y = 4x + 3?

Back

4

Front

What does a proportional relationship look like on a graph?

Back

A proportional relationship is represented by a straight line that passes through the origin (0,0) with a constant slope.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does the term 'rate of change' refer to in linear relationships?

Back

Rate of change refers to how much one quantity changes in relation to another quantity, often represented by the slope in a linear equation.

Front

What is the meaning of the term 'y-intercept'?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

If a graph shows a constant increase, what can be said about its slope?

Back

The slope is positive, indicating that as x increases, y also increases.