y=mx+b

Front

What does the equation y = mx + b represent?

Back

It represents the slope-intercept form of a linear equation, 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 using the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope is 3.

Front

What is the y-intercept of the line represented by the equation y = 4x - 10?

Back

The y-intercept is -10.

Front

If the slope of a line is -2, what does this indicate about the line's direction?

Back

It indicates that the line falls from left to right.

Front

What does a slope of 0 mean in a linear equation?

Back

A slope of 0 means the line is horizontal.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line.

Front

How can you determine the slope from a graph?

Back

You can determine the slope by selecting two points on the line and using the rise over run method.