Slope and Y-Intercept

Front

What is the slope of a line?

Back

The slope of a line is a number that describes how steep the line is. It is calculated as the change in y divided by the change in x.

Front

In the equation y=mx+b, what does 'm' represent?

Back

In the equation y=mx+b, 'm' represents the slope of the line.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by 'b' in the equation y=mx+b.

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope of the line is 2.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope of the line is -3.

Front

How do you write the equation of a line in slope-intercept form?

Back

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

Front

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

Back

A slope of 0 means the line is horizontal and does not rise or fall.