y-intercept and slope

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is the value of y when x = 0.

Front

How do you find the y-intercept from an equation in slope-intercept form (y = mx + b)?

Back

The y-intercept is the value of b in the equation, which represents the point (0, b) on the graph.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

How is slope calculated between two points (x1, y1) and (x2, y2)?

Back

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 = 2x + 3?

Back

The slope is 2.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

In the equation y = -4x + 1, what is the y-intercept?

Back

The y-intercept is 1.

Front

In the equation y = 3x - 7, what is the slope?

Back

The slope is 3.

Front

What is the y-intercept of the equation y = 0.5x + 2?

Back

The y-intercept is 2.