Slope, equations and intercepts

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

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

Back

The y-intercept (b) is the value of y when x is 0.

Front

How do you write the equation of a line with a slope of 2/3 and a y-intercept of -3?

Back

y = 2/3x - 3

Front

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

Back

The slope is 5.

Front

If a line has a slope of -1, what does this indicate about the line's direction?

Back

The line decreases as it moves 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

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

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