Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −34? drag each choice into the boxes to correctly complete the table. parallel / perpendicular / neither line m, with slope 3/4 line n, with slope 4/3 line p, with slope -4/3 line q, with slope -3/4

Line M - neither

Line N - perpendicular

Line P - neither

Line Q - parallel

Step-by-step explanation:

A line that is perpendicular will aways have and opposite slope, e.g. -3/4, opposite, 4/3.

A line that is parallel will always have the exact same slope, e.g. -3/4, same, -3/4.

Step-by-step explanation:

Given that a line is having slope equal to

By parallel lines concept we know that any line parallel to the given line will have the same slope as

Also perpendicular lines will satisfy m1 m2 = -1 where m1 and m2 are two slopes.

Hence here perpendicular line will have slope as

From the given 4 lines we find that

Line M = neither

Line N = perpendicular

Line P = neither

Line Q = parallel

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

hi,

you half the rectangle that you ae asking about so then you would see the scale factor of 1/2 the one u have selected, the one on top is half.

hope this !