8th Review

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented as (0, b) in the equation of a line y = mx + b.

Front

How do you write the equation of a line given the slope and y-intercept?

Back

The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b.

Front

How do you determine the slope from a table of values?

Back

The slope can be calculated by taking the difference in y-values divided by the difference in x-values between two points on the line.

Front

If Michael works for 6 weeks and makes $20 in tips, how much money does he make if his earnings are represented by 8w + t?

Back

He makes $68. (8*6 + 20 = 48 + 20 = 68)

Front

What is the formula for calculating slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it moves. A positive slope means the line rises, while a negative slope means it falls.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions create straight lines when graphed, while nonlinear functions create curves.

Front

How can you identify a linear function from a graph?

Back

A linear function will graph as a straight line, while a nonlinear function will show a curve.

Front

What does the term 'y-intercept' refer to in a graph?

Back

The y-intercept is the value of y when x is 0, indicating where the line crosses the y-axis.