Question

Determine which equation is parallel and perpendicular to jk​

Answer 1

None of the equations are parallel or perpendicular to the line jk.

How to know equations that are parallel and perpendicular?

The equation of a line can be interpreted as follows:

y = mx + b

where

• m = slope
• b = y-intercept

Therefore,

Parallel lines have the same slope(m).

Perpendicular line follows the principle below:

• m₁ m₂ = -1

Therefore, let's find equation of jk

(-5, 5)(1, -5)

m = -5 - 5 / 1 + 5 = -10 / 6 = - 5 / 3

using (1, -5)

-5 = - 5 / 3 (1) + b

b = -5 + 5 / 3 = -15 + 5 / 3 = -10 / 3

Therefore,

y = -5 / 3 x - 10 / 3

m = - 5 / 3

6x + 10y = 11

10y = -6x + 11

y = - 6 / 10 x + 11 / 10

y = - 3 / 5 x + 11 / 10

hence, m = - 3 / 5

5x - 3y = 8

3y = 5x - 8

y = 5 / 3 x - 8/3

m = 5 / 3

The equation

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