Question

Select the equation of the line that passes through the point (–2, 1) and has slope 3 in point-slope form.


A.
(y – 1) = 3(x + 2)

B.
(x – 2) = 3(y + 1)

C.
(x + 2) = 3(y – 1)

D.
(y + 1) = 3(x – 2)

Answer 1

So?

Answer 2

hey..
The standard point-slope equation looks like this:
\[Y - Y _{1} = m( X - X _{1})\]

It should be noted that "y1" or "x1" does not mean y multipled by 1. In this case it simply denotes a particular y value which you will plug into the equation. The variable m is the slope of the line

if we take
(-2 , 1)
we can write
X1 = -2
Y1 = 1

then
-X1 = 2
-Y1 = -1

then the point slope form will be something like this......
\[Y - 1 = m( X +2 )\]
and the gradient is 3 . so.... "m" will be 3
\[Y - 1 = 3( X +2 )\]
now ... the rest is up to u :)

Answer 3

So its A right?

Answer 4

yep!! :)