A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (6, 4) and (5, 2), what is the equation for a parallel street that passes through (−2, 6)?

Question

Vocaloid · Answer

Use the slope formula to find the slope of the line connecting points (6, 4) and (5, 2). That slope, m, will be the same slope as the parallel line through (-2,6).

Finally, you can use the point slope formula, plug in the slope m and the point (-2,6) to find the equation of the line through (-2,6).