Question

Find the equation, in standard form, of the line passing through the points (2,-3) and (4,2).

Answer 1

1) find the slope

Answer 2

would slope be 5/2?

Answer 3

\[\frac{2-(-3)}{4-2}\] is a start

Answer 4

yes, you are right, it is \(\frac{5}{2}\)

Answer 5

so thats how you get a slope! thanks. would the answer be A then? y=5/2x+8

Answer 6

@satellite73

Answer 7

well if they weren't so mean you would be done
but both A and D have slope \(\frac{5}{2}\) so don't jump the gun yet

Answer 8

we are going to have to pick between them

Answer 9

so even though D says 5x-2y=16 it is a slope like 5/2?

Answer 10

next comes "point - slope" formula
\[y-y_1=m(x-x_1)\] you can pick whichever point you like , i pick \((4,2)\) but lets wait a sec so i can answer your last question first

Answer 11

\[5x-2y=16 \] if we solve for \(y\) we get
\[-2y=-5x+16\] divide by \(-2\) and get
\[y=\frac{5}{2}x-8\]

Answer 12

so yes, it also has slope \(\frac{5}{2}\)
you cannot read off the slope unless it looks like \(y=mx+b\)

Answer 13

is that more or less clear?

Answer 14

oh okay!

Answer 15

i will take that as a "yes"

Answer 16

yeah that was very clear, thanks :)

Answer 17

between the two though, I cant figure out the answer

Answer 18

The answer is d

Answer 19

k we have
\[y-y_1=m(x-x_1)\] putting in the numbers we get
\[y-2=\frac{5}{2}(x-4)\]

Answer 20

now the steps are always the same
multiply out on the right and get
\[y-2=\frac{5}{2}x-10\] add 2 and get
\[y=\frac{5}{2}x-8\]

Answer 21

so it is not A, they put that there to see if you would jump to the wrong conclusion, which you almost did
it is D

Answer 22

thank you! :) @ask1709 @satellite73