Standard to Slope Intercept Form

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

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

How do you convert the Standard Form of a linear equation to Slope-Intercept Form?

Back

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

Front

What is the y-intercept (b) in the equation y = 2x + 3?

Back

The y-intercept (b) is 3, which is the point where the line crosses the y-axis.

Front

Identify the slope in the equation y = -5x + 2.

Back

The slope is -5.

Front

What is the first step to solve for slope-intercept form from the equation 3x + 2y = 6?

Back

Subtract 3x from both sides to isolate the 2y term.

Front

What is the Standard Form of a linear equation?

Back

The Standard Form is given by Ax + By = C, where A, B, and C are integers.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the equation y = 4x - 7?

Back

The y-intercept is -7.

Front

What does it mean if the slope of a line is zero?

Back

A slope of zero means the line is horizontal and does not rise or fall.