The graph of a line passes through the point (1, 2) and has a slope of 5. Another line passes through the points (5,0) and (-1, 2).
The two lines intersect at the point (p, q).
What is the value of p/q?

7/11 would be the value of p/q

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)