Slope Review 2

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

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

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 does a zero slope indicate about a line?

Back

A zero slope indicates a horizontal line, meaning y remains constant 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 and y can take any value.

Front

Convert the equation 4x - 3y = 12 to slope-intercept form.

Back

y = (4/3)x - 4.

Front

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

Back

The slope is 4.

Front

What is the y-intercept of the line represented by the equation y = -1x + 3?

Back

The y-intercept is 3.

Front

If a line has a slope of 0, what is its equation in slope-intercept form?

Back

The equation is y = b, where b is the y-intercept.