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 = 2x + 3?

Back

The slope (m) is 2.

Front

What is the y-intercept in the equation y = -x + 4?

Back

The y-intercept (b) is 4.

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

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

Front

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

Back

It means the line is horizontal.

Front

If a line has an undefined slope, what does that mean?

Back

It means the line is vertical.

Front

What is the y-intercept of the line represented by the equation y = 3?

Back

The y-intercept is 3, as the line is horizontal.

Front

How can you determine the y-intercept from the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0.