Question

PLEASE ANSWER THIS

b) A second form of coral is suspected to be somewhere parallel to the original line. Suggest an equation for the paleontologists to search that is parallel to the known coral structure.

c) A third coral structure has been found following the line 12x=24+3y. Is this structure perpendicular to the first coral?

Answer 1

b) If the line is parallel, that means the slope is the same.
The slope for the original line is
`(-1-0)/(6-2)` =
`(-1)/(4)`.
The second form of coral line would be y = -1/4x + (any number). You could use y = -1/4x + 3.

c) Solve 12x = 24 + 3y for y.
3y = 12x - 24
y = 4x - 8
Perpendicular lines have negative reciprocal slopes... the negative reciprocal for -1/4 is 4. So yes, the third coral structure is perpendicular to the first coral.