Slope & Linear Equations Review

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is represented as (0, b) where b is the value of the y-coordinate.

Front

How do you find the slope of a line?

Back

The slope (m) of a line is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate?

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?

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 0, 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 0, leading to division by zero in the slope formula.

Front

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

Back

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

Front

Back

Front

How do you determine if a slope is positive, negative, or zero from a graph?

Back

If the line rises from left to right, the slope is positive. If it falls from left to right, the slope is negative. If it is horizontal, the slope is zero.

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope means the line is vertical, and it does not have a defined angle of inclination.