Question

Convert point-slope form to standard form using a calculator.

A) y = mx + b
B) Ax + By = C
C) y - y1 = m(x - x1)
D) y = x + m

Answer 1

To convert from point-slope form to standard form, distribute the slope and manipulate the equation to obtain mx - y + (y1 - mx1) = 0.

Step-by-step explanation:

To convert point-slope form to standard form, which is in the form Ax + By = C, you need to manipulate the equation. Here's how:

1. Start with the point-slope form equation: y - y1 = m(x - x1)
2. Distribute the m to the x and simplify: y - y1 = mx - mx1
3. Add mx1 to both sides of the equation: y + mx1 - y1 = mx
4. Rearrange the equation by combining like terms to obtain the standard form: mx - y + (y1 - mx1) = 0

So, the point-slope form equation y - y1 = m(x - x1) would be converted to the standard form equation mx - y + (y1 - mx1) = 0 using the steps above.