Slope, graphs and equations

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 y = mx + b.

Front

What does 'b' represent in the equation y = mx + b?

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find 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

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

Back

The slope is -1.

Front

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

Back

The slope is 3/4.

Front

What is the slope of the line represented by the equation y = -4/5x + 3?

Back

The slope is -4/5.

Front

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

Back

The slope is 4.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is y = b, where b is the y-coordinate of any point on the line.