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