Question

Two equivalent equations of the line in point slope form for (-4,8) and (0,5)

Answer 1

Equation of line 1 is 3 X - 4 Y = 20

Equation of line 2 is 3 X + 4 Y = 20

Explanation:

Given co ordinates of points as,

( -4 , 8) and (0 , 5)

From the given two points we can determine the slop of a line

I. e slop (m) =
`((y2 - y1))/((x2 - x1))`

Or, m =
`((5 - 8))/((0 + 4))`

So, m =
`((-3))/((4))`

Now equations of line can be written as ,

Y - y1 = m ( X - x1)

At points ( -4 , 8)

Y - 8 =
`((-3))/((4))` (X + 4)

So , Equation of line 1 is 3 X - 4 Y = 20

Again with points ( 0 , 5)

Y - 5 =
`((-3))/((4))` ( X - 0)

So, Equation of line 2 is 3 X + 4 Y = 20

Hence Equation of line 1 is 3 X - 4 Y = 20 and Equation of line 2 is 3 X + 4 Y = 20 Answer