Answer :
Answer:
y = 1/3x - 10
Step-by-step explanation:
→ Write gradient in form y = mx + c
y = 1/3x + c
→ Substitute in 12 and -6
-6 = 4 + c
→ Solve for c
c = -10
→ Rewrite into y = mx + c format
y = 1/3x - 10
Hi!
I can help you with joy!
First of all, we are given the slope and a point that the line passes through.
So, we can write the line's equation in Point-Slope Form:
[tex]\text{y-y1=m(x-x1)}[/tex]
Plug in the values:
[tex]\text{y-(-6)=m(x-12)}[/tex]
[tex]\tt{y+6=\frac{1}{3} (x-12)}[/tex]
[tex]\tt{y+6=\frac{1}{3} x-4[/tex]
Move 6 to the right:
[tex]\tt{y=\frac{1}{3} x-4-6}\\\tt{y=\frac{1}{3} x-10[/tex]
Hope it helps!
Ask me if you have any doubts.
- Enjoy Your Day/Night!
~Silent~