Question 1203122
i get x = 2 because you have a vertical line at x = 2, therefore all points on that line have x = 2.
the two points shown on that vertical line are (2,5) ande (2,15).


i get y = 15 as follows:
the slope of the line is equal to the change in y divided by the corresponding change in x.\
the two points you can use are:
(0,0) and (2,5)
the slope is (5-0) / (2-0) = 5/2.


any two points on that line will generate the same slope.
the other two points are (2,5) and (6,y)
the slope is 5/2, therefore you get (y-5) / (6-2) = 5/2.
simplify to get (y-5) / 4 = 5 / 2
multiply both sides of that equation by 4 to get:
y - 5 = 4 * 5 / 2 which becomes:
y - 5 = 10
add 5 to both sides of that equation to get:
y = 15.


your solution for this problem should be x = 2 and y = 15.


i graphed the equation for that line so you can see it better.
the equation is y = 5/2 * x
when x = 2, y = 5/2 * 2 = 5
when x = 6, y = 5/2 * 6 = 15
here's the graph.


<img src = "http://theo.x10hosting.com/2023/072601.jpg">


as a bonus, you get:
when y = 12, the equation becomes 12 = 5/2 * x
solve for x to get x = 2/5 * 12 = 24/5 = 4.8, as shown on the graph.