Solve by graph
the solution of two lines is the point where they bisect
then , solution point is

Solve by functions
we write the equation of each line, general equation of a line is

where m is the slope and b the y-intercept
we find the slope using the formula and two points

where (x2,y2) is a right point from (x1,y1)
green line
find the slope with points (0,1) and (1,2)

and y-intercept is 1, then b=1
the equation of the green line is

yellow line
find the slope with points (-2,2) and (0,3)

and y-intercept is 3 then b=3
the equation of the yellow line is

now we have two equations

we replace the value of y of any equation on the other equation
i will repalce y from the first equation on the second

and solve for x

the value of x is 4, now i can repalce x=4 on any equation to find y
i will replace x on the first equation

the value of y is 5
the point solution is
