Chapter 3 Test Review

Front

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

Back

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

Front

What does the slope of a line represent?

Back

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

Front

What is the y-intercept of a linear equation?

Back

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

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line that has a slope of 2 and a y-intercept of -3?

Back

The equation is y = 2x - 3.

Front

If a line has a slope of -1, what does this indicate about the line's direction?

Back

A slope of -1 indicates that the line descends from left to right.

Front

What is the meaning of the term 'linear equation'?

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form y = mx + b.

Front

Write the equation of a line with a slope of 3 that passes through the point (1, 2).

Back

The equation is y = 3x - 1.

Front

What is the cost equation for renting skates if the rental fee is $5 and the cost per hour is $3?

Back

The cost equation is y = 3x + 5, where y is the total cost and x is the number of hours.

Front

How do you determine the y-intercept from the equation y = 4x + 7?

Back

The y-intercept is 7, which is the value of y when x = 0.