ok so I need to sketch the straight line determined by the points and find the slope intercept equation of the line. (1,1) (2,4) I got everything except the book says the answer is y=3x-2 and im getting y=3x+1?

Question

anonymous · Answer

Okay so you found out the slope is 3.

anonymous · Answer

yea

anonymous · Answer

Then you plugged in the point $(1,1)$:$$
(1) = 3(1) + b
$$

anonymous · Answer

i didn't do that.. but im following..

anonymous · Answer

You solved for $b$:$$
1-3 = b\implies -2 = b
$$Then put it into the original equation: $$
y = 3x-2
$$

anonymous · Answer

oh

anonymous · Answer

can u just tell me what form of the line is that again..? is that point-slope?

anonymous · Answer

I don't know what you mean.

anonymous · Answer

hmm, like. what is the origional equation?

anonymous · Answer

ok, where did you get 1−3=b⟹−2=b from?

anonymous · Answer

actually, i get it. But why not use point (2,4)?

anonymous · Answer

The $\implies$ is just like saying "the equation becomes this"

anonymous · Answer

You can use any point you want, if it is on the line.

anonymous · Answer

oh ok. Yea, i see the other one would work as well. Thanks!