<h3>Answer: The lines are perpendicular</h3>
=================================================
Work Shown:
Use the slope formula to find the slope of the line through the two given points.
m = (y2 - y1)/(x2 - x1)
m = (-4 - (-5))/(6 - (-7))
m = (-4 + 5)/(6 + 7)
m = 1/13
The slope of the line through the two given points is 1/13.
This is not equal to -13, which was the slope of the first line, so the two lines are not parallel.
However, the two lines are perpendicular because multiplying the two slope values leads to -1
(slope1)*(slope2) = (-13)*(1/13) = -1
note: It might help to think of -13 as -13/1 to help multiply the fractions.
Xy = 12 because if you look at the pattern the top one is 16 and the bottom one is 8 so the middle of those would be 12.
We are asked in the problem to deterimne the point slope form that is y - y1 = m(x-x1),. Substituting, m = 3 and x1 = 2
Translating,
y + a = 3*(x-2).
Ahnswer to this problem then is C.
