Question

How can an equation be converted from slope-intercept form to standard form using a calculator?

Answer 1

To convert an equation from slope-intercept form to standard form using a calculator, follow these steps: rewrite the equation in the form y = mx + b, substitute the values of m and b into the standard form equation, calculate the values of A, B, and C, and write the equation in standard form by combining the calculated values.

Step-by-step explanation:

To convert an equation from slope-intercept form to standard form using a calculator, follow these steps:

1. First, rewrite the equation in the form y = mx + b, where m represents the slope and b represents the y-intercept.
2. Using the given values of m and b, substitute these values into the standard form equation Ax + By = C.
3. Calculate the values of A, B, and C using the formulas A = -m, B = 1, and C = -bm.
4. Finally, write the equation in standard form by combining the calculated values of A, B, and C.

For example, let's convert the equation y = 2x + 3 to standard form:

1. y = 2x + 3 (slope-intercept form)
2. A = -(2) = -2, B = 1, and C = -(2)(3) = -6
3. The standard form equation is -2x + y = -6.