Slope and Slope Intercept Review

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 find 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 the slope of a line represent?

Back

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

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line, meaning x remains constant while y changes.

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 equation y = -4x - 5?

Back

The y-intercept is -5.

Front

How do you convert the equation y = 2x + 1 to standard form?

Back

To convert to standard form, rearrange to Ax + By = C, resulting in 2x - y = -1.

Front

What is the slope of the line that passes through the points (10, 1) and (5, 2)?

Back

The slope is -1/5.