Answer:
y = -(5/3)x + 64
Explanation:
note: if you don't have desmos, I suggest using it cause it helps a lot with graphing
first rearrange 5x - 3y = 12 to get the y by itself (y = mx + b)
m = slope
b = constant
you can start with subtracting 5x by both sides
now you have -3y = 12 -5x
then divide -3 by both sides
y = (12 - 5x) / -3
you can separate it so you have 12/-3 and -5x/-3
12/-3 = -4 and -5x/-3 you can't really solve but you can get rid of the negatives since two negatives make a positive
you should now have y = -4 + (5/3)x
I like to write it as y = (5/3)x -4 cause its easier to understand
* I always check desmos to make sure I still have the same graph
* The way you flip the line on the graph is by making the slope negative
since we know (5/3) is our slope all we do is make it negative
so (5/3) changes to -(5/3)
* The end number of the equation is where the line sits on the x axis
The way to find this is to start at 30 where the original line intersects and move left over 3 and up 5 then continue until you reach the x axis
when we switch to the other equation we see it sits on 64 on the x axis
y = -(5/3)x + 64