Question

 Find:

 

1. equation of AB
2. equation of CD

Answer 1

i. Slope of AB = `(3 - 4)/(3 - (-5)) = -1/8`

∴ Equation of AB is given by 

`y - 4 = -1/8(x - (-5))`

8y – 32 = –(x + 5)

8y – 32 = –x – 5

x + 8y = 27

ii. AB and CD are perpendicular to each other. 

Thus, product of their slope = –1

Slope of AB × Slope of CD = –1 

`=>` Slope of CD = 8

Now, from graph we have coordinates of D = (–3, 0)

∴ Equation of line CD is given by

y – y₁ = m(x – x₁)

y – 0 = 8(x – 3)

y = 8(x + 3)

y = 8x + 24