Unit 5 Review Linear Relationships

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0. In the equation y = 2x - 7, the y-intercept is -7.

Front

What does the slope (m) represent in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

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

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of 4/3, what does this mean?

Back

This means that for every 4 units the line rises, it runs 3 units to the right.

Front

What is a solution to the equation y = 2x - 7?

Back

A solution is a pair (x, y) that satisfies the equation. For example, (2, -3) is a solution.

Front

What does it mean for a line to be increasing?

Back

A line is increasing if the slope is positive, meaning as x increases, y also increases.

Front

What does it mean for a line to be decreasing?

Back

A line is decreasing if the slope is negative, meaning as x increases, y decreases.

Front

What is the formula for the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.