Answer:
y = 4x/5 - 1/5
Explanation:
Given an equation
4x - 5y = 10
First, find the slope m
Following this equation
y = mx + C
4x - 10 = 5y
To get y, divide through by 5
(4x - 10) / 5 = 5y/ 5
(4x - 10) / 5 = y
We can still separate
4x / 5 - 10/5 = y
4x/ 5 - 2 = y
Therefore, y = 4x/5 - 2
The slope m = 4/5
Using the equation of line
y - y_1 = m(x - x_1)
Provided with point ( 4 , 3)
x_1 = 4
y_1 = 3
Inserting those values into
y - y_1 = m(x - x_1)
y - 3 = m ( x - 4)
We've gotten m to be 4/5
y - 3 = 4/5 ( x - 4)
open the bracket
y - 3 = 4x - 16 / 5
y = (4x - 16)/ 5 + 3/1
LCM is 5
y = (4x - 16 + 15) / 5
y = (4x - 1 )/ 5
We can separate it
y =( 4x / 5 ) - 1/5
Using y = mx + C
the equation of the line is
y = 4x/5 - 1/5