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I get that, but why do I need to know points P and Q. Why are they even in the problem.

you have to find 2nd equation through those (p and q) points

y = mx + b
y = 1x + 4

then we can graph both equations to find out the intersection point |dw:1443817214823:dw|

right can you write the equation that passes through p and q points ??

P(4, 8) and Q(-2, -1)
y = 1x + 4
8 = 4 + 4 = 8
-1 = 1(-2) + 4
-1 = 2?
I don't know

(4,8)(-2,-1)
-1 - 8
-2 - 4
-9
-6
1.5

for this question the problem is they want us to find 2nd equation from PQ points

for this question substitution would be easy :=)