Slope and Y-intercept

Front

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

Back

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

Front

Identify the y-intercept in the equation y = 3x + 4.

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

What does the slope of a line indicate?

Back

The slope indicates the steepness and direction of the line; a positive slope rises, while a negative slope falls.

Front

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

Back

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

Front

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

Back

The y-intercept is 5.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 4)?

Back

The slope is 1.

Front

In the equation y = 4x - 2, what is the y-intercept?

Back

The y-intercept is -2.

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

How can you determine the y-intercept from a graph?

Back

The y-intercept is the point where the line crosses the y-axis.