Standard Form to Slope Intercept

Front

What is Standard Form in mathematics?

Back

Standard Form is a way of writing numbers using digits, where the number is expressed as a product of a number between 1 and 10 and a power of 10. For example, 3000 can be written as 3 x 10^3.

Front

What is Slope-Intercept Form?

Back

Slope-Intercept Form is a way of writing the equation of a line as y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert Standard Form to Slope-Intercept Form?

Back

To convert from Standard Form (Ax + By = C) to Slope-Intercept Form (y = mx + b), solve for y in terms of x.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

If the equation is 2x + 3y = 6, what is the slope when converted to Slope-Intercept Form?

Back

First, convert to Slope-Intercept Form: 3y = -2x + 6, then y = -2/3x + 2. The slope is -2/3.

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

What does it mean if the slope is zero?

Back

A slope of zero means the line is horizontal, indicating that y does not change as x changes.

Front

What does it mean if the slope is undefined?

Back

An undefined slope means the line is vertical, indicating that x does not change as y changes.