# 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...
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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.

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

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