Graphs, Tables, and Equations

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line. It is calculated as the change in y divided by the change in x (rise over run).

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the vertical change (rise) and the horizontal change (run) between these points, and divide the rise by the run.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the slope-intercept form of a line (y = mx + b).

Front

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

Back

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

Front

How do you calculate the rate of change from a table?

Back

To calculate the rate of change from a table, find the difference in the y-values and divide it by the difference in the x-values between two points.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What does it mean if a line is horizontal?

Back

A horizontal line has a slope of 0, meaning there is no change in the y-value as the x-value changes.

Front

What does it mean if a line is vertical?

Back

A vertical line has an undefined slope, meaning the x-value does not change as the y-value changes.