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

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, where x remains constant as y changes.

Front

How can you find the y-intercept from the slope-intercept form?

Back

The y-intercept (b) is the value of y when x = 0 in the equation y = mx + b.

Front

If the equation of a line is y = 2x + 5, what is the slope?

Back

The slope (m) is 2.

Front

If the equation of a line is y = -3x + 4, what is the y-intercept?

Back

The y-intercept (b) is 4.

Front

What is the x-intercept of the line represented by the equation y = 4x - 8?

Back

The x-intercept is 2, found by setting y = 0 and solving for x.