Pre-Algebra: Semester #1 Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

Front

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

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and there is no change in the y-value as x changes.

Front

What is the slope of the line that passes through the points (15, 20) and (20, 25)?

Back

The slope is 1.

Front

What is the square root of 36?

Back

The square root of 36 is 6.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What is the formula for calculating the rate of change?

Back

Rate of change = (change in y) / (change in x).

Front

If a line has a slope of -5/4, what does this tell you about its direction?

Back

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

Front

What is the significance of the y-intercept in a linear equation?

Back

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

Front

How can you determine which of two lines has a greater rate of change?

Back

Compare their slopes; the line with the steeper slope (greater absolute value) has the greater rate of change.