Understanding Slope and Y-Intercept

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 indicates how much y changes for a unit change in x.

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

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

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the equation of a line (y = mx + b).

Front

How do you find the y-intercept from an equation?

Back

To find the y-intercept from an equation in the form y = mx + b, simply identify the value of b.

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope of the line is 2.

Front

What is the y-intercept of the line represented by the equation y = -3x + 7?

Back

The y-intercept of the line is 7.

Front

How do you determine the slope from 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.