ACP Basics Mixed Review

Front

What is the definition of a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend on a graph.

Front

What is the definition of a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend on a graph.

Front

What does a zero slope represent?

Back

A zero slope represents a horizontal line where the y-value remains constant regardless of the x-value.

Front

What does an undefined slope represent?

Back

An undefined slope occurs in a vertical line where the x-value remains constant, leading to no change in y-value.

Front

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

Back

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

Front

Write an equation of a line with a slope of 1 and a y-intercept of -3.

Back

y = x - 3.

Front

Find the slope of the line passing through the points (2, 3) and (4, 7).

Back

Slope = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is zero.

Front

If a line has a slope of -5/3, what does this indicate about the line's direction?

Back

The line descends from left to right, indicating a negative relationship between x and y.