Unit 4: Slope and y-intercept Review

Front

What is the slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented as 'm' in the equation of a line, which indicates how much 'y' changes for a change in 'x'.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the equation of a line, indicating the value of 'y' when 'x' is 0.

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 is the equation of a line in slope-intercept form?

Back

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

Front

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

Back

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

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 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

How can you find the y-intercept from a linear equation in standard form?

Back

To find the y-intercept from the standard form Ax + By = C, set x = 0 and solve for y.

Front

What is the significance of the point (0, b) in a linear equation?

Back

The point (0, b) represents the y-intercept of the line, where the line crosses the y-axis.

Front

What is the relationship between slope and rate of change?

Back

The slope of a line represents the rate of change of 'y' with respect to 'x', indicating how much 'y' changes for each unit change in 'x'.