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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

Two lines are plotted on the same coordinate plane The first line passes through 55 and 33 The second passes through 31 and 42 The two lines are A Intersecting class=

Respuesta :

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

the slope of the first line is,

[tex]m=\frac{-3-(-5)}{-3-(-5)}=\frac{-3+5}{-3+5}=1[/tex]

the slope for 2nd line,

[tex]m=\frac{2-1}{4-3}=\frac{1}{1}=1[/tex]

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

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