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 this indicate about the line?

Back

The line decreases as it moves from left to right.

Front

If the y-intercept (b) is 3, what is the point on the graph?

Back

The point is (0, 3) on the y-axis.

Front

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

Back

Use the formula: m = (y2 - y1) / (x2 - x1).

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.

Front

In the equation Y = 2x + 1, what is the slope?

Back

The slope is 2.

Front

In the equation Y = -3x + 4, what is the y-intercept?

Back

The y-intercept is 4.