Space Race and Ghost Island Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

The slope (m) can be found using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

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

Back

The slope of the line is 2.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope of the line is -3.

Front

How do you write the equation of a line given its slope and y-intercept?

Back

The equation can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept in the equation y = 5x - 2?

Back

The y-intercept is -2.

Front

What is the slope of the line represented by the equation y = 0.5x + 1?

Back

The slope of the line is 0.5.

Front

If a line has a slope of 4, what does this mean in terms of rise and run?

Back

For every 4 units the line rises (up), it runs 1 unit to the right.