Step-by-step explanation:
i)=
m=2/3
x=-3
y = 5
now
y=mx+c
or, 5 = 2/3× -3 + c
or, 5 = -2+c
c =7
now,
y= mx + c
or, y = 2/3×x+7
or, y = 2x/3+7
or, 3y = 2x+21
so, 3y-2x=21
equation would be 3y-2x=21.
now
ii)=
if slope of 3y-2x=21 and 2x-3y = 0 are same, they are parallel.
2x-3y = 0
2x = 3y
lets suppose x is 9
now
2x=3y
2×9 = 3y
or, 18 = 3y
so, y = 6
one coordinate would be (9,6) now
lets again suppose x is 3
2x=3y
2×3 = 3y
or, 6 = 3y
so, y = 2
another coordinate is (3,2)
now lets find slope
x1=9,y1=6
x2=3,y2=2
slope = (y2-y1)/(x2-x1)
= (2-6)/(3-9)
= -4/-6
= 2/3
Since, slope of 3y-2x=21 and 2x-3y has same slope 2/3, they are parallel.
Answer:

Step-by-step explanation:
we know that
To find out the difference In the fuel tank of the two cars, subtract the fuel tank capacity of the compact car from the fuel tank capacity of the luxury sedan
so

Step-by-step explanation:
Given
2a + b = 6......equation 1
a - 6 = b
a = b + 6........equation 2
Putting equation 2 in equation 1
2 ( b + 6 ) + b = 6
2b + 12 + b = 6
3b = 6 - 12
3b = - 6
b = - 6 / 3
Therefore b = - 2
Now
a = - 2 + 6 = 4
hope it will help :)
I would say c. I’m not sure if I’m right if I’m not sorry but good luck
Answer:
$ 126
Step-by-step explanation:
9 months is 3/4 of one year
2100 * 3/4 * .08 = 126 dollars interest