STANDARD FORM to SLOPE INTERCEPT FORM

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is expressed as 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 by isolating it on one side of the equation.

Front

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

Back

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

Front

What does the slope of a line represent?

Back

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

Front

What does the y-intercept of a line represent?

Back

The y-intercept of a line is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

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

Back

y = -2x + 4.

Front

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

Back

Divide everything by 2 to isolate y.

Front

If the equation is y = -2x + 6, what is the slope?

Back

The slope is -2.

Front

If the equation is y = -2x + 6, what is the y-intercept?

Back

The y-intercept is 6.

Front

What is the process to find the slope from the equation 6x + 12y = 48?

Back

First, convert to slope-intercept form: y = -0.5x + 4.