Respuesta :

Answer:

y = 3/5x - 6

Step-by-step explanation:

We are asked to write the equation of a line

Step1: find slope

We are provided with the slope already in the question, so it's alot easier now

Slope m = 3/5

Step 2: substitute m into the equation

y = mx + c

y = intercept point y

x = intercept point x

m = slope

c = intercept

y = 3/5x + c

Step 2: substitute point into the equation

( 20 , 6)

x = 20

y = 6

y = 3/5x + c.

6 = 3/5(20) + c

Open the bracket with 3

6 = 3*20/5 + c

6 = 60/5 + c

6 = 12 + c

c = 6 - 12

c = -6

Substitute c into the equation

y = 3/5x + c

y = 3/5x - 6

Therefore, the equation of the line is

y = 3/5x - 6