6x+y=39 how do i make this an ordered pair and 0 substitutes x and y

An easy way to do this is to get into slope intercept form which helps you find the x and y intercept and the ordered pairs more easily

slope intercept form is y=mx+b  so
-6x+y=39
add 6x to both sides
y=6x+39

so to make this into a ordered pair, you subsitute values for x and get y so  in (x,y) format

(x,y)
(1,45)
(-1,33)
(0,39)
(-6.5,0)
so to find the x intercept (where the line passes though the x axis or when y=0) you set y to zero and solve for x
0=6(x)+39
subtract39 from both sides
-39=6x
divide both sides by 6
-6.5=x
(-6.5,0)

to find the y intercept (where  the line passes through the y axis or when x=0) you set x to zero and solve
y=6(0)+39
y=0+39
y=39
(0,39)

Take away idk why but yah