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 = -4x + 5?

Back

The y-intercept (b) is 5.

Front

How do you identify a negative slope in an equation?

Back

A negative slope occurs when the coefficient of x (m) is less than 0.

Front

What does the slope represent in a graph?

Back

The slope represents the rate of change of y with respect to x.

Front

If the slope is 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a positive slope indicate about the relationship between x and y?

Back

A positive slope indicates that as x increases, y also increases.

Front

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

Back

The slope is -3 and the y-intercept is 4.

Front

What is the significance of the y-intercept in a linear equation?

Back

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