8th Grade Slope Review

Front

What is the slope of the line represented by the equation y = \frac{3}{2}x + 3?

Back

The slope is \frac{3}{2}.

Front

What is the y-intercept of the line represented by the equation y = \frac{3}{2}x + 3?

Back

The y-intercept is (0, 3).

Front

What is the equation of a line with a slope (m) of -3 and a y-intercept (b) of 5?

Back

The equation is y = -3x + 5.

Front

What does the slope represent in a distance-time graph?

Back

The slope represents the rate of change of distance with respect to time.

Front

If a speedboat travels 2,000 meters in 20 minutes, what is the equation that models its distance (y) in terms of time (x)?

Back

The equation is y = 100x.

Front

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

Back

The slope (m) is calculated as m = \frac{y2 - y1}{x2 - x1}.

Front

What is the formula for the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

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.