Final answer:
To convert an equation from standard form to slope-intercept form (y = mx + b), you don't need a calculator. Follow the steps of isolating y, dividing by the coefficient of y, and simplifying the equation. For example, the equation 2x - 3y = 6 can be converted to slope-intercept form as y = (2/3)x - 2.
Step-by-step explanation:
To convert an equation from standard form to slope-intercept form (y = mx + b), you don't need a specific calculator. This can be done using simple algebraic manipulation. The standard form of a linear equation is Ax + By = C, where A, B, and C are constants.
- First, isolate y on one side of the equation by subtracting Ax from both sides.
- Next, divide all terms in the equation by B to make the coefficient of y equal to 1.
- This will give you the equation in the form y = mx + b, where m is the slope and b is the y-intercept.
For example, let's say you have the equation 2x - 3y = 6. Subtracting 2x from both sides gives -3y = -2x + 6. Dividing all terms by -3 gives y = (2/3)x - 2, which is the slope-intercept form.