Slope-Intercept Form

Front

What is 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.

Front

What does the slope (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b).

Front

If a line has a positive slope, what does that indicate about the direction of the line?

Back

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

Front

If a line has a negative slope, what does that indicate about the direction of the line?

Back

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

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope is 2.

Front

What is the y-intercept of the line represented by the equation y = -3x + 4?

Back

The y-intercept is (0, 4).

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, where x remains constant and y can take any value.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, where y remains constant and x can take any value.