Slope and Y-Intercept

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented as the ratio of the rise (change in y) to the run (change in x).

Front

How is the slope represented in the slope-intercept form of a linear equation?

Back

In the slope-intercept form, y = mx + b, 'm' represents the slope.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of 'b' in the slope-intercept form y = mx + b.

Front

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

Back

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

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

If a line has a positive slope, what does this indicate about the relationship between x and y?

Back

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

Front

If a line has a negative slope, what does this indicate about the relationship between x and y?

Back

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

Front

What is the slope of the line represented by the equation y = 3x + 5?

Back

The slope of the line is 3.

Front

What is the y-intercept of the line represented by the equation y = -2x + 4?

Back

The y-intercept of the line is 4.