LInear Relationships Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship between the two variables.

Front

What is the slope of the line represented by the equation y = 5x + 5?

Back

The slope (m) is 5.

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 does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning the x-coordinates of the two points are the same, resulting in division by zero.

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine if a line is increasing or decreasing?

Back

A line is increasing if the slope is positive (m > 0) and decreasing if the slope is negative (m < 0).

Front

What does the graph of y = 4x look like?

Back

The graph of y = 4x is a straight line that passes through the origin (0,0) with a slope of 4, rising steeply.

Front

What is the relationship between speed and slope in a distance-time graph?

Back

In a distance-time graph, the slope represents speed; a steeper slope indicates a higher speed.