Slope-Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

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

What is the value of the slope for a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the value of the slope for a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you calculate 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

If a line has a positive slope, what does that indicate about its direction?

Back

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

Front

If a line has a negative slope, what does that indicate about its direction?

Back

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

Front

What is the y-intercept in the equation y = 2x + 3?

Back

The y-intercept is 3, which is the point where the line crosses the y-axis.

Front

How can you identify the slope from the equation y = -rac{1}{4}x + 2?

Back

The slope is -rac{1}{4}.

Front

What does it mean if the slope of a line is 0?

Back

It means the line is horizontal and does not rise or fall.