Question

Two lines are plotted on the same coordinate plane. The first line passes through (-5,-5) and (-3,-3). The second passes through (3,1) and (4,2). The two lines are _____? A. Intersecting, not perpendicular B. Intersecting and perpendicular C. Parallel with no common points D. Parallel with infinite common points

Answer 1

for this relation, we need to find the slope of each line,

the slope of the first line is,

`m=(-3-(-5))/(-3-(-5))=(-3+5)/(-3+5)=1`

the slope for 2nd line,

`m=(2-1)/(4-3)=(1)/(1)=1`

the slope of both the lines is equal, so lines are parallel to each other,

and there is no common point between them.

so the correct answer is option C