Line m passes through points (3, 15) and (10,9). Line n passes through points (2,9) and (9,3). Are line m and line n parallel perpendicular?

Given:

Line m passes through points (3, 15) and (10,9).

Line n passes through points (2,9) and (9,3).

To find:

Whether the line m and line n are parallel or perpendicular?

Solution:

Slope formula:

Line m passes through points (3, 15) and (10,9). Using the slope formula, the slope of line m is

Line n passes through points (2, 9) and (9,3). Using the slope formula, the slope of line m is

Since , therefore, the lines m and n are parallel because the slope of parallel lines are equal.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

8

step-by-step explanation: