Hi!
Let's write it in slope intercept form first.
y = mx + b
Subtract y intercepts
1 - (-2) = 3
Subtract x intercepts
2 - (-3) = 5
y = 3/5x + b
Substitute one of the points to find y intercept.
1 = 3/5 · 2 + b
1 = 1.2 + b
-0.2 = b
y = 3/5x - 0.2
Now substitute the point (5,3), and if the equation is still correct, then it does pass through that point.
5 = 3/5 · 3 - 0.2
5 = 1.8 - 0.2
5 = 1.6
Since the equation is in correct, the line does NOT pass through the point (5,3).
Hope this helps! :)

[EDIT: Replaced x by * since x doesn't look well in typefaced math]
Answer: (50,-20)
Step-by-step explanation:
Point B is (100,0).
Point A is (0,-40).
To find C you need the midpoint of both A and B, which means you add both coordinate x and coordinate y together to find the middle of both.
Midpoint of x coordinates:
100+0= 100
100÷2= 50
Midpoint of y coordinates:
0+(-40)= -40
-40÷2= -20
Therefore, point C is (50,-20)
Answer:
The given equation is
ax b= 0,
As we see that, it is a linear equation in one variable containing two constant.
So , a≠ 0 [then equation has no meaning.If a=0 , then
, which is meaningless]. ∴ a=0 is incorrect.
Similarly , b≠ 0 [ Reason same as above]. ∴b=0 is incorrect.
⇒3 x=0
⇒x=0 is the correct response.
Let me explain by this giving an example
⇒5 x=0
⇒ x=0 but 5≠0
So, x=0 or 3 x=0 is correct response.
Hope this helps always remember soh = sin cah = cos & toa = tan so remember you are looking for the opp and adj