Answer:
x - 3y = -12
Step-by-step explanation:
First find the slope by converting the given equation to slope-intercept form.
-x + 3y = 6
3y = x + 6
y = 1/3x + 2
- meaning that the slope = 1/3.
Y - y1 = m(x - x1) where m = 1/3 and (x1, y1) = (3, 5):-
y - 5 = 1/3(x - 3) Multiply each tern by 3:-
3y - 15 = x - 3
x - 3y = -12 is the required equation
Step-by-step explanation:
Parallel lines has same slope
Here line is parallel to −x+3y=6
Changing it to y = mx + c form
−x+3y=6
3y = x + 6
[tex]y=\frac{1}{3}x+2[/tex]
Slope of line is [tex]m=\frac{1}{3}[/tex]
We have equation line with slope m and passing through (x₁,y₁) as (y-y₁)=m(x-x₁)
Here (x₁,y₁) = (3, 5)
Substituting
[tex]y-5=\frac{1}{3}(x-3)\\\\3y-15=x-3\\\\3y-x=12[/tex]
Equation of line is 3y-x=12
