Question

which of the following equations is parallel to the line passing through A (-2,7) B (-2,-2)

Answer 1

Hi and welcome in open study !;)
Look :
if we want to have 2 parallel line they should have equal slopes ( m ) . means :
m1=m2
and in this question first we should find an equation for second line .
use this way :
first find slope ( m ) :
m=y2-y1/x2-x1
we have 2 point . find y1 and y2 and x1 and x2 from them :
A (-2,7)
B (-2,-2)
So :
x1=-2
y1=7
x2=-2
y2=-2
m = -2+2/7+2 = 0/9 = 0
m=0
So the equation for this line is :
y=k
caz m in before x and if we have 0*x , then x is 0 . so y is d .
the equation for second line is :
y=d
look :
if we want to find the equation use this ( i want to proof why y=k )
y2-y=m(x2-x)
-2-y = 0(-2-x)
-2-y = 0
-y = 2
y= +2
so for and 2 is d or k .
k means a number so we have :
y=k
Got it ?!:)
@Apple13