STANDARD FORM to SLOPE INTERCEPT FORM

Front

What is the standard form of a linear equation?

Back

Front

How do you convert from standard form to slope-intercept form?

Back

Front

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

Back

Front

What is the first step to convert the equation 4x + 2y = 12 to slope-intercept form?

Back

Subtract 4x from both sides to isolate the y-term.

Front

What is the second step after obtaining 2y = -4x + 12?

Back

Divide everything by 2 to solve for y.

Front

What is the slope of the line represented by the equation y = -2x + 6?

Back

The slope (m) is -2.

Front

What is the y-intercept of the equation y = -2x + 6?

Back

The y-intercept (b) is 6.

Front

Convert the equation 12x + 6y = 24 to slope-intercept form.

Back

The slope-intercept form is y = -2x + 4.

Front

What does the slope of a line represent?

Back

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

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.