
Plz Help
Write an equation in slopeintercept form of the line passing through each pair of points: (6, 2) and (3, 4)
4  (2)
 = 2/3
3  6
next
y  (2) = 2/3(x  6)
y  (2) 2/3x 9
y  (2) + (2) = 2/3x 9 + (2)
y= 2/3x + 7 < my answer.
Let me now if I'm correct or wrong?

Your idea is correct.
You tried to find the slope of the line.
Then you used that slope in the pointslope form of the equation of the line.
But your solution/answer is wrong.
Mistakes in the Algebra. I'd say, mistakes due to skipping steps.
4  (2)
 = 2/3
3  6
Maybe if you did not skip one step you could have got the correct slope.
Like this:
4  (2)
 = 2/(3) = 2/3 <the correct slope is positive.
3  6
next
y  (2) = (2/3)(x  6)
y  (2) = (2/3)x (2/3)6
y  (2) = (2/3)x 4
y (2) +(2) = (2/3)x 4 +(2)
y = (2/3)x 6 <answer.

Of course it is okay to skip steps. But if you are not that good yet, maybe it's good for you to do it step by step.

Also, to check if your answer is correct, you test your answer with the given data.
So your answer is
y = (2/3)x +7
See if that is correct by plugging, say, (6,2) into your answer.
Like so,
2 = (2/3)6 +7
2 = 4 +7
2 = 3
No, they are not equal, so your answer is not correct.
