Question

Through :(4,2),parallel to y =-3/4x-5
Solve for y

Answer 1

y =
`( - 3)/(4)` x + 5

Explanation:

The Line equation is:

y =
`(- 3)/(4) x - 5`

The line equation is in the form of y = m x + c

Slop of this line is (m1) =
`( - 3)/(4)`

Let another line with slop (m2) , passes through point (4 , 2)

As per question the another line is parallel to the given line equation

So, slop of both the lines are equal

∴ (m2) = (m1) =
`( - 3)/(4)`

Hence equation of another line with slop
`( - 3)/(4)` and passing through points ( 4 , 2) is

y - y1 = (m2) (y - x1)

I.e y - 2 =
`( - 3)/(4)` (x - 4)

Or,
`4* (y -2) = (- 3)* (x - 4)`

Or , 4y - 8 = -3x + 12

Or, 4y = -3x + 12 + 8

Or , 4y = -3x + 20

∴ y =
`( - 3)/(4)` x + 5

Hence The value of y =
`( - 3)/(4)` x + 5 Answer