mmkay. kara to the rescue.

this is what i got.

y-3=2(x-2)

i found the slope between the points.

then plugged them into the point slope form (y-y1)=m(x-x1)

now, simplify it to get it into slope-intercept form: y=2x-1

(hint: i distributed and did addition property or equality and subtraction prop.)

now, you know the slope and y-intercept.

slope:2

y intercept: -1

i am not sure if thats what you mean, but thats what i got.

hope it helps.

good luck on your test.

:]

You have written everything you need for the answer. 😉

y = k*x + b

k = (y1 – y2) / (x1 – x2) = (3 + 1) / (2 + 2) = 4 / 4 = 1

So the equation is y = x + b.

b is an arbitrary parameter, that takes values from -inf to +inf, (there are infinitely many lines that are parallel to a give one).

You can determite the value of b ONLY if you have some additional constraints – for example, the point (1,2) belongs to the line.

m=y2-y1/x2-x1

m=3–1/2–2

m=4/4

m=1

we then plug in (2,3) (it could be the other point also) into the y=mx+b equation to find b

3=1(2)+b (substitute variables)

3=1+b (multiplying)

2=b (subtracting 1)

so your final equation is y=x+2

if you want to find a parallel line for this equation, you start off with y=x+b and pick a point (i’m just going to use (1,0))

0=1(1)+b (substitute to find b)

0=1+b (multiplying)

-1=b

so your parallel equation would be y=x-1

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