1.1 Prep - Analyze Line Graphs

Front

What is a linear equation?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is.

Front

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

Back

Front

What is the y-intercept of a line?

Back

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What is the slope of a horizontal line?

Back

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

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is zero, leading to division by zero in the slope formula.

Front

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

Back

Front

What does it mean if a line has a slope of 3?

Back

A slope of 3 means that for every 1 unit increase in x, the y-value increases by 3 units.