23.9k views
4 votes
I'm confused, how would I do this?

Write a function in the form y = mx + b for the line that passes
through the points (2, 4) and (6, 16).

1 Answer

5 votes
y=3x-2 i believe is the answer i did y2-y1 divided by x2-x1 which is 16-4 divided by 6-2 and 16-4 is 12 and 6-2 is 4 and 12/4 is 3 so 3 is your slope (m) so to find b you chose either (2,4) or (6,16) either one will work and i chose (6,16) then your plug in 16 for y and 6 for x so your equation is 16=3(6)+b then 3(6) is 18 so your new equation is 16=18+b then you subtract 18 from both sides to isolate b and 16-18 is -2 so your final equation is y=3x-2 you can do the same thing with the (2,4) point and end up with the same answer
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.