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determine if lines jk and lm are parallel, perpendicular, or neither.

j(1,9), k(7,4), l(8,13), m(-2,1)

a. parallel

b. perpendicular

c. neither

determine if the lines are parallel, perpendicular, or neither.

4x +5y = 10 and 5x -4y =28

hint: solve for y

a. parallel

b. perpendicular

c. neither

1. Perpendicular; 2, perpendicular  

Step-by-step explanation:

1. Segments JK and LM

(a) Calculate the slopes of the segments

(i) Segment JK

(ii) Segment LM

(b) Compare their slopes

The two segments are perpendicular.

Their graphs are shown in Figure 1.

2. Equations

(a) Calculate the slopes of the segments

(i) First equation

4x + 5y = 10

5y = 10 - 4x

y = 2 - ⅘x

m₁ = -⅘

(ii) Second equation

5x - 4y = -28

-4y = -28 - 5x

y = 7 + ⁵/₄x

m₂ = ⁵/₄

(b) Compare the slopes

m₂ = ⁵/₄ = -1/m₁

The two lines are perpendicular.

The graphs are shown in Figure 2.

step-by-step explanation:

if you meant, "on the way from (3, 2) to (3, 14):

x does not change; y increases by 12.

ensure that you have copied down this problem correctly.   .