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 of the line and the direction it goes. A positive slope means the line rises, while a negative slope means it 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

If the slope (m) is 1, what does that mean for the line?

Back

The line rises one unit up for every one unit it moves to the right.

Front

If the slope (m) is -1, what does that mean for the line?

Back

The line falls one unit down for every one unit it moves to the right.

Front

What is the y-intercept if b = 5 in the equation Y = mx + b?

Back

The line crosses the y-axis at the point (0, 5).

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 slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, meaning there is no rise as you move along the x-axis.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, meaning it does not cross the x-axis.

Front

In the equation Y = 2x - 3, what is the slope?

Back

The slope (m) is 2.