Alg1 2.1- Slope of lines

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the change in y (rise) divided by the change in x (run).

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

The slope is 2.

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 a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Are the lines y = -1/3x - 5 and y = 1/3x + 2 parallel, perpendicular, or neither?

Back

Neither.

Front

What is the x-intercept of a line?

Back

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

Front

Find the x-intercept of the line represented by the equation y = 2x + 2.

Back

The x-intercept is (-1, 0).