Standard Form --> Slope-Intercept Form

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you convert from 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.

Front

What does the slope-intercept form of a linear equation represent?

Back

The slope-intercept form (y = mx + b) represents a line where m is the slope and b is the y-intercept.

Front

What is the slope in the equation y = -2x + 41?

Back

The slope is -2.

Front

What is the y-intercept in the equation y = -2x + 41?

Back

The y-intercept is 41.

Front

If the equation is 2x + 2y = 6, what is the first step to solve for y?

Back

Subtract 2x from each side.

Front

What is the y-intercept of the equation y = -x + 3?

Back

The y-intercept is 3.

Front

What is the slope of the line represented by the equation y = -x + 3?

Back

The slope is -1.

Front

In the equation 2x + 4y = 8, what is the first step to convert it to slope-intercept form?

Back

Subtract 2x from each side.

Front

What is the solution for y in the equation 2x + 4y = 8 after converting to slope-intercept form?

Back

y = -0.5x + 2.