Question

Write an equation in standard form for a line passing through A(–2, 3) and B(3, 4).

Answer 1

IMPORTANT LINE RELATED EQUATIONS TO KNOW AND MEMORIZE

slope formula
m= slope/ gradiant -- same thing
\[m=\frac{y_2-y_1}{x_2-x_1}\]

standard formula
\[Ax+By=C\]

point-slope formula
\[y-y_1=m(x-x_1)\]

slope-intercept formula
b= y-intercept -- in the form of (0,y)

\[y=mx+b\]

Answer 2

first find slope using the slope formula given,

then substitute the slope and one of the 2 points into the pointslope formula given

then convert that into standard form

Answer 3

hi stevenc did you get what complete have explain to you? or you need more explanation?

Answer 4

I plugged it into point slope and got y-3= 1/5 (x-4)

Answer 5

@mark_o.

Answer 6

ok from y-y1=m(x-x1), if you have chosen the point of A(-2,3)
it should be
y-y1=m(x-x1)
y-3=1/5 (x-(-2))
y-3=1/5 (x+2)

Answer 7

I see what I did wront now, but now im still not getting any of the answer choices

Answer 8

you will also arrive
to the same answer if you have chosen the point B(3,4)=(x1,y1)
y-y1=m(x-x1)
y-4=1/5 (x-3)

Answer 9

The possible answer choices are 5x – y = 17
x – y = 1
x – 5y = 19
x – 5y = –17

Answer 10

yes i know i am just telling you how to start solving it,
let say you chose A(-2,3)
then from the above solution we get
y-3=1/5 (x+2) doing the process of multiplying them and adding
y-3=1/5 x+2/5
y=1/5 x+2/5 +3
y=1/5 x+2/5 +15/5 now we want the form of this Ax+By=C
y=1/5 x +17/5 now multiply both sides by 5 we get
5y=x+17 arrange them like this std form Ax+By=C
-17=x-5y or
x-5y=-17 .....ans....

Answer 11

is that solution help u a lot now?

Answer 12

oh okay!! Thanks! I didn't do the multiply both sides by 5, but I understant now. Thanks again!

Answer 13

ok yw have fun .....lol