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 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 in terms of x.

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing linear equations in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept in slope-intercept form?

Back

The y-intercept is the value of y when x = 0; it is represented by b in the equation y = mx + b.

Front

Convert the equation 5x - 3y = -9 to slope-intercept form.

Back

y = (5/3)x + 3.

Front

Convert the equation 4x - 8y = 72 to slope-intercept form.

Back

y = (1/2)x - 9.

Front

What is the slope of the equation 12x - 6y = 30?

Back

The slope is 2.

Front

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

Back

y = (5/4)x + 5.

Front

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

Back

y = -⅕x - 5.