Answer:

Step-by-step explanation:
When two lines are parallel means that their slopes are equal. Therefore the line AB will have same slope to a parallel second line,
.
To obtain the slope from the line AB, we need two points, so the general equation will be:

The typical equation of a line is written as y = mx + b
The second line will pass through point (2, -1), so we can substitute:
y2 = mX2 + b
-1 =
(2) + b
then the interception is 
Now to obtain a general equation for the second parallel line will be:
y =
X + b
y =
X -
(2)-1
Finally we get:
y =
(x-2)-1
There are 3 ways of solving a simultaneous problem, substitution method, elimination method and Gauss-Jordan method. I'm gonna use the substitution method since it's easier and i think it would suit your level more.
First let's try solving for y since it's easier to start with.
Firstly we have to find an equation for x:

Great, now we can use the substitution method to find the value of y using the first equation:

Now we know that y=1 we can solve the first equation we made:

And the answer is 
Double check:

And that's our final answer! (4,1)
Answer: -x/2 + 1
Step-by-step explanation:
write t in terms of x
x = 2t
t = x/2
substitute t in y
y = 1 - t
y = 1 - x/2 or -x/2 + 1
By rewriting the given line, we can see that the slope is equal to -1/2 or -0.5
<h3>
How to get the slope of the given line?</h3>
Remember that a line is:
y = a*x + b
Where a is the slope and b is the y-intercept of the line, which is the point where the line intersects the y-axis.
Then, we can rewrite our equation:
x + 2y = 16
to:
2y = 16 - x
y = (16 - x)/2
y = (-1/2)*x + 8
Comparing with the general line equation, we can see that the slope is -1/2.
If you want to learn more about linaer equations:
brainly.com/question/1884491
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