Types of Slopes

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What is the slope of a line that decreases from left to right?

Back

Negative.

Front

How can you identify a negative slope from an equation?

Back

If the coefficient of x in the equation is negative, the slope is negative.

Front

What is the slope of the line represented by the equation y = mx + b when m is positive?

Back

Positive.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal.

Front

What type of slope does a vertical line have?

Back

Undefined.

Front

How do you find the slope from the equation y - 4 = 2/3(x - 3)?

Back

The slope is the coefficient of x, which is 2/3.

Front

What is the slope of the line represented by the equation y = 1 - 5x?

Back

Negative, as the coefficient of x is -5.

Front

What does it mean if a slope is undefined?

Back

An undefined slope occurs in vertical lines where the change in x is zero, leading to division by zero.

Front

How can you determine the slope from a graph?

Back

By selecting two points on the line, calculating the rise (change in y) over the run (change in x).