Chapter 4 Makeup Test

Front

Which graph represents the equation x = 1?

Back

The graph of x = 1 is a vertical line that crosses the x-axis at 1.

Front

Find the slope of the line between the points (2, 3) and (5, 7).

Back

Slope (m) = (y2 - y1) / (x2 - x1) = (7 - 3) / (5 - 2) = 4/3.

Front

What is the slope of a line parallel to the line with slope -5/3?

Back

The slope of a line parallel to another line is the same. Therefore, it is -5/3.

Front

Where is point A located if its coordinates are (2, 7)?

Back

Point A is located at the coordinates (2, 7) in the Cartesian plane.

Front

Which graph would be parallel to the graph of the equation y = -2/3 x + 20?

Back

Any line with the same slope of -2/3 will be parallel to this line.

Front

What is the formula for calculating the slope of a line?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

If a line has a slope of 3/5, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to another is the negative reciprocal. Therefore, it is -5/3.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

If a line passes through the points (1, 2) and (3, 6), what is its slope?

Back

Slope (m) = (6 - 2) / (3 - 1) = 4/2 = 2.