Answer:
y=3x+9
Step-by-step explanation:
To answer this question, we first have to understand a few key concepts.
1) The equation given (y=3x+9) is written in slope-intercept form, which is y=mx+b.
Heres what the variables mean:
Y=the coordinate
M=the slope
X=the x coordinate
B=the y-intercept (the point on the line that intercepts the y-axis)
2) Parallel lines have the same slope. Using the given equation, we now know that the slope of line s is 3. Therefore, the slope of line t is also 3 (because they are parallel).
So now, this is our equation so far:
y=3x+b
All we need to do now is find b, which we can do by plugging in the coordinate (-6,-9) as the x and y variables.
y=3x+b
-9=3(-6)+b
-9=-18+b
Add 18 to both sides
-9+18=-18+b+18
9=b
And when we plug 9 into y=3x+b, we get:
y=3x+9
(And yes, they are pretty much the same line)
I hope this helps! Please comment if you have any questions.