Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0) - Parallel lines always have the same slope
<u>1) Determine the slope of line S using line R (m)</u>

We can identify clearly that the slope of the line is
, as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be
. Plug this into
:

<u>2) Determine the y-intercept of line S (b)</u>

Plug in the given point (-4,3) and solve for b

Subtract 1 from both sides to isolate b

Therefore, the y-intercept is 2. Plug this back into
:

I hope this helps!
I'm assuming you don't still need these? Sorry I didn't see this in time
Using translation concepts, it is found that the coordinates of the image of point B is given by: (0, –2).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the rule is given by:
(x,y) -> (x + 5, y - 2).
Hence, the image of point B, given by B', is:
(-5,0) -> (-5 + 5, 0 - 2) -> (0,-2).
More can be learned about translation concepts at brainly.com/question/4521517
#SPJ1
Hey! :)
So when we write something in slope intercept form, all we're doing is solving for y. So let's do that with this equation!
-2x + y = 9
add 2x to both sides
y = 2x + 9
So C is your answer.
Please let me know if you need anything further explained!
Y=-2x+24 hope this helps!