standard form to slope intercept form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

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

Back

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

Front

What is the y-intercept (b) in the slope-intercept form?

Back

The y-intercept is the value of y when x = 0, representing where the line crosses the y-axis.

Front

Given the equation 9x + 2y = 9, what is the slope?

Back

The slope is -9/2.

Front

What is the first step to solve for slope-intercept form in the equation -x + 4y = 11?

Back

Add x to both sides.

Front

What is the slope of the equation y = 4 - 6x?

Back

The slope is -6.

Front

What is the best first step to solve for y = mx + b in the equation -2x - 4y = -12?

Back

Add 2x to both sides.

Front

What is the standard form for the equation y = -5x + 8?

Back

The standard form is 5x + y = 8.

Front

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

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.