Answer:
To solve the equation y - y1 = m(x - x1) for y, we can rearrange the equation to isolate y on one side.
Here's the step-by-step solution:
Start with the equation: y - y1 = m(x - x1).
Distribute the m on the right side of the equation: y - y1 = mx - mx1.
Move the y1 term to the right side by adding y1 to both sides: y = mx - mx1 + y1.
Rearrange the terms: y = mx + (y1 - mx1).
The final solution for y is y = mx + (y1 - mx1).