Standard Form to Slope Intercept

Front

What is Standard Form in mathematics?

Back

Standard Form is a way of writing numbers using powers of ten. 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

The slope is -2/3 after converting to y = -2/3x + 2.

Front

What is the first step in converting 4x - 2y = 8 to Slope-Intercept Form?

Back

The first step is to isolate y by moving 4x to the other side: -2y = -4x + 8.

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

Front

What does it mean if the slope is zero?

Back

If the slope is zero, the line is horizontal, meaning y does not change as x changes.