Mathematics

The key is recognizing that slope lives in the equation's form—rearrange to $y = mx + b$ to read it directly. Once you have the slope, parallel lines share that same slope, so you just need to use point-slope form with your new point to lock in the equation. This two-step process (extract, then apply) is the backbone of line problems.

The key is recognizing that slope lives in the equation's form—rearrange to $y = mx + b$ to read it directly. Once you have the slope, parallel lines share that same slope, so you just need to use point-slope form with your new point to lock in the equation. This two-step process (extract, then apply) is the backbone of line problems.