Slope intercept

Front

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

Back

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

Front

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

Back

The slope is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

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

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

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where x1 = x2.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

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

Back

A slope of 0 means the line is horizontal.

Front

How can you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line and using the rise over run method.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3.

Front

What are the coordinates of the y-intercept in the equation y = -2x + 5?

Back

The coordinates of the y-intercept are (0, 5).