Answer:
A. y + 2 = 4/3(x – 3); –4x + 3y = –18
Step-by-step explanation:
(3, –2) and (6, 2)
First, we must establish slope...
m=(y-y1)/(x-x1)
m=(-2-2)/(3-6)
m=-4/-3
m=4/3
Point slope formula is...
y-y1=m(x-x1)
Let's select either coordinate. I randomly select the first (3, –2)...
y--2=4/3(x-3)
Subtracting a negative number is the same as adding a positive number...
y+2=4/3(x-3)
This corresponds to the first answer.
Standard form...
Ax+By=C
y+2=(4/3)x-4
y=(4/3)x-6
-(4/3)x+y=-6
Multiply both sides by 3...
-4x+3y=-18
This also corresponds to the first answer.
How about the second coordinate, (6, 2)...
y-y1=m(x-x1)
y-2=(4/3)(x-6)
Let's convert it into standard form..
y-2=(4/3)x-8
y=(4/3)x-6
-(4/3)x+y=-6
Multiply both sides by 3...
-4x+3y=-18
FIRST ANSWER
y + 2 = 4/3(x – 3); –4x + 3y = –18
