Question

19. Jules and Lauren need to write an equation of a line that is perpendicular to: y - 2 = 1/(x-3). Jules writes the equation: y = -5x + 1 Lauren writes the equation: y = -5x + 7. Explain why both equations are correct.​

Answer 1

I'm assuming your equation was:

`y-2=(1)/(5)(x-3)`

Both Jules' line and Lauren's line have a slope of -5 or
`-(5)/(1)` and those two lines are parallel since they have the same slope.

Perpendicular lines have slopes that are opposite reciprocal values.

The opposite reciprocal of
`-(5)/(1)` is a positive
`(1)/(5)`, which is why these two lines are perpendicular to the line at the top of my answer.