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 Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you convert a standard form equation to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y in terms of x.

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing the equation of a line as 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

What does the y-intercept (b) represent in a linear equation?

Back

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

Front

Convert the equation 5x - 4y = -20 to slope-intercept form.

Back

y = (5/4)x + 5.

Front

Convert the equation x + y = 4 to slope-intercept form.

Back

y = -x + 4.

Front

Convert the equation x + 5y = -25 to slope-intercept form.

Back

y = -⅕x - 5.

Front

Convert the equation -2x + 8y = 2 to slope-intercept form.

Back

y = 1/4x + 1/4.

Front

What is the first step in converting a standard form equation to slope-intercept form?

Back

The first step is to isolate the term with y on one side of the equation.