Unit 7 Review

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

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

In the equation t = 3s + 5, which variable is independent?

Back

The independent variable is s (the number of students).

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 equation y = mx + b.

Front

Calculate the slope between the points (4, 9) and (7, 5).

Back

The slope is m = (5 - 9) / (7 - 4) = -4/3.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

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

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.

Front

If the slope of a line is zero, what does that mean?

Back

A slope of zero means the line is horizontal and there is no change in the y-value as x changes.

Front

What is the formula for finding the y-intercept from a linear equation?

Back

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