Is my Algebra 1 homework correct?

For those of you who may not be able to make out some of it: 1. y-2=2/3(x-6) Equation in Slope-Intercept Form: y=2/3x-2 Equation in Standard Form: 2x+3y=-6 x-intercept: 3 y-intercept: -2 Slope: 2/3 2. y-2=3(x-5) Equation in Slope-Intercept Form: y=3x-13 Equation in Standard Form: -3x+y=-3 x-intercept: 13/3 (or... show more For those of you who may not be able to make out some of it:

1. y-2=2/3(x-6)
Equation in Slope-Intercept Form: y=2/3x-2
Equation in Standard Form: 2x+3y=-6
x-intercept: 3
y-intercept: -2
Slope: 2/3

2. y-2=3(x-5)
Equation in Slope-Intercept Form: y=3x-13
Equation in Standard Form: -3x+y=-3
x-intercept: 13/3 (or 4.3 or 4 3/10)
y-intercept: -13
Slope: 3

3. y-5=-3/2(x-4)
Equation in Slope-Intercept Form: y=-3/2x+1
Equation in Standard Form: 3x+2y=1
x-intercept: 3/2
y-intercept: 1
Slope: -3/2

4. y+4=x+2
Equation in Slope-Intercept Form: y=1x+2
Equation in Standard Form: -x+y=2
x-intercept: -2
y-intercept: 2
Slope: 1

DISCLAIMER. PLEASE READ:
I do NOT want the answers if I got something wrong. Instead, a simple heads-up that I did something wrong and pointing out what I did and how to do it properly would be more appreciated. I'm here to learn. Unfortunately I can't make it to private tutoring with my math teacher at school but she's not opposed to us receiving help elsewhere. I suppose this counts.

Thank you! Any help is much appreciated.
Update: Edit: 1. Equation in Standard Form: -2x+3y=-6
1 answer 1