IM Math 8 Unit 3 Review

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the ratio of the change in the y-values to the change in the x-values, often represented as the slope (m) in the equation y = mx + b.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept of a linear equation, set x = 0 in the equation and solve for y.

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the x-intercept represent in a graph?

Back

The x-intercept represents the point where the graph crosses the x-axis, meaning the value of y is 0.

Front

How do you determine the slope from two points?

Back

The slope (m) can be determined using the formula m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, showing an inverse relationship between the two variables.

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, showing a direct relationship between the two variables.

Front

How do you write an equation given the slope and y-intercept?

Back

To write an equation given the slope (m) and y-intercept (b), use the slope-intercept form: y = mx + b.

Front

What does it mean if a line is vertical?

Back

A vertical line has an undefined slope and can be represented by an equation of the form x = a, where 'a' is the x-coordinate of any point on the line.

Front

What does it mean if a line is horizontal?

Back

A horizontal line has a slope of 0 and can be represented by an equation of the form y = b, where 'b' is the y-coordinate of any point on the line.