Slope intercept form is: y=mx+b
So you take the first equation: 2x-3y=6 and you subtract the 2x from both sides and get: -3y= 2x+6
Then you take that equation: -3y= 2x+6 and divide -3 from both sides and get: y= -2/3x -2
So the equation 2x-3y=6 in slope intercept from is
y = -2/3x -2
Can you do the next one your self based on the one i did...?
(Scroll and check ⬇️ )
Here ya go ;)
5x + 2y = 3 okay same steps as above you want to get the x on the other side so you subtract the 5x from both sides and get:
2y = 5x + 3
Then you want to get the y by its self so you divide the 2 from both sides so you get:
y = 5/2x +2/3
Now idk if your allowed to leave it like that (based on your teacher's preferance really) but if not you can simplfy your fractions and get:
y = 2.5x + 0.66
( i would leave the 2/3 and just leave it as y = 2.5x + 2/3 ) but you do you and i hope that helped you :)