Question

Which equation is in the point-slope form and depicts the equation of this line?
Can anyone explain how to complete this ? pic below

Answer 1

@whpalmer4

Answer 2

okay, point-slope form is \[y-y_0 = m(x-x_0)\]What is the point you are using to write the equation?

Answer 3

2,1 ?

Answer 4

okay, if you use that, what do you get for the equation?

Answer 5

my preference would be to use the other point, since all the answer choices have either 1 or 4 in them on the left hand side, and the other point has a 1 and a 4

Answer 6

ohh ok so how would you want me to write it , like the slope intercept form ? or

Answer 7

no, you need point-slope form, so write it in point-slope form to start. no need to switch it around and possibly make mistakes in the algebra...

Answer 8

don't you agree that those answer choices look like point-slope form?

Answer 9

yes so it'd look like this right (y+4)= 5/3(x+1)

Answer 10

Yep, that's the correct one. slope is 5/3 because between the two points it went 3 to the right and 5 up. and if the initial y value was -4, y-y_0 = y - (-4) = y + 4. (subtracting a negative is a frequent source of errors, in my experience)

Answer 11

Ya i figured out that making it negative causes complications lol thanks again sir !

Answer 12

now, we could have done it with the other point, too:

slope is still 5/3

\[y - 1 = \frac{5}{3}(x- 2)\]add 5 to each side\[y-1+5 = \frac{5}{3}(x-2) + 5\]\[y+4 = \frac{5}{3}x -\frac{10}{3}+\frac{15}{3} = \frac{5}{3}x+\frac{5}{3} = \frac{5}{3}(x+1)\]

Answer 13

but I know which one I want to do if I'm in a hurry and it's important that I get it right :-)