Unit 3 Review

Front

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

Back

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

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

What does a positive slope indicate about a line?

Back

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

Front

What is the y-intercept in the equation y = 2/3x - 3?

Back

The y-intercept is -3, which is the value of y when x = 0.

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

To convert, solve for y in terms of x (y = mx + b).

Front

What is the slope of the line represented by the equation 5x + 10y = 30?

Back

The slope is -1/2.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line, where y remains constant regardless of x.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, where x remains constant regardless of y.

Front

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

Back

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