Question

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

Answer 1

Answer:

Which subject is this . please tell

Answer 2

Answer:

see explanation

Step-by-step explanation:

1

(a)

Calculate slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

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

m = $\frac{7-3}{10-8}$ = $\frac{4}{2}$ = 2

(b)

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

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{2}$

(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 = - $\frac{1}{2}$ , then

y = - $\frac{1}{2}$ x + c ← is the partial equation

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

3 = - 4 + c ⇒ c = 3 + 4 = 7

y = - $\frac{1}{2}$ x + 7 ← equation of perpendicular line

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2

(a)

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

m = $\frac{4-5}{4-3}$ = $\frac{-1}{1}$ = - 1

(b)

$m_{perpendicular}$ = - $\frac{1}{-1}$ = 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