Y = mx + b

Front

What does the equation y = mx + b represent?

Back

It represents the equation of a straight line, where m is the slope and b is the y-intercept.

Front

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

Back

The slope (m) indicates the steepness and direction of the line. A positive slope rises from left to right, while a negative slope falls.

Front

What is the y-intercept in the equation y = mx + b?

Back

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

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

If the slope of a line is -1, what does this indicate about the line's direction?

Back

It indicates that the line falls from left to right.

Front

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

Back

The slope is 3.

Front

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

Back

The y-intercept is 5.

Front

How can you determine the equation of a line if you know the slope and y-intercept?

Back

You can use the formula y = mx + b, substituting m for the slope and b for the y-intercept.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line.