Question

HELP ME WITH THIS PLEASE PLEASE SHOW ME THE FORMULA FOR LETTER C​

Answer 1

see explanation

Explanation:

1

(a)

Calculate slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ = (8, 3) and (x₂, y₂ ) = (10, 7)

m =
`(7-3)/(10-8)` =
`(4)/(2)` = 2

(b)

Given a line with slope m then the slope of a line perpendicular to it is

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(2)`

(c)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = -
`(1)/(2)` , then

y = -
`(1)/(2)` x + c ← is the partial equation

To find c substitute (8, 3) into the partial equation

3 = - 4 + c ⇒ c = 3 + 4 = 7

y = -
`(1)/(2)` x + 7 ← equation of perpendicular line

--------------------------------------------------------------------------

2

(a)

with (x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (4, 4)

m =
`(4-5)/(4-3)` =
`(-1)/(1)` = - 1

(b)

`m_(perpendicular)` = -
`(1)/(-1)` = 1

(c)

y = x + c ← is the partial equation

To find c substitute (3, 5) into the partial equation

5 = 3 + c ⇒ c = 5 - 3 = 2

y = x + 2 ← equation of perpendicular line

Answer 2

Which subject is this . please tell