Answer :
Slope intercept form is y=mx+b
So:
2x + 3y = 10
Subtract 2x on both sides
3y = -2x + 10
Divide 3 on both sides
y = -2/3x + 10/3
Next equation:
4x + 6y = 12
Subtract 4x on both sides
6y = -4x + 12
Divide by 6 on both sides
y = -2/3 x + 2
So:
2x + 3y = 10
Subtract 2x on both sides
3y = -2x + 10
Divide 3 on both sides
y = -2/3x + 10/3
Next equation:
4x + 6y = 12
Subtract 4x on both sides
6y = -4x + 12
Divide by 6 on both sides
y = -2/3 x + 2