Write the equation of the line in slope intercept form that passes through the two points: (1,-6) and (-3,2)
1 answer:
Answer:
y = -2x - 4
Step-by-step explanation:
Formula is y = mx + b where m is the slope and b is the y-intercept
(1, -6) (-3, 2)
The slope is -2
y = -2x + b
So let's find b, insert 2 for y and -3 for x to find b
2 = -2(-3) + b
2 = 6 + b
Subtract 6 from both sides to get b alone
-4 = b
We found what b equals (the y-intercept), which is -4
So, the equation is y = -2x - 4
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Answer:
B) 36 cubic feet
Step-by-step explanation:
Dimensions of the room are x, y and z feet. It is given that x = 6 feet.
Manav took 8 hours to paint the wall with dimensions x and z.
This means, in 8 hours Manav painted area = xz = 6z
In 1 hour Manav painted area =
Manav took 4 hours to paint the wall with dimensions y and z.
This means, in 4 hours Manav painted area = yz
In 1 hour Manav painted area =
Manav took 12 hours to paint the ceiling with dimensions x and y.
This means, in 12 hours Manav painted area = xy = 6y
In 1 hour Manav painted the area =
Since, Manav works at constant rate, this means the worked done in 1 hour in all 3 cases would be the same. So we can write:
Using the first two equations, we get:
Using the last two equations, we get:
So, we have the follwoing dimensions of the room:
x = 6 feet
y = 3 feet
z = 2 feet
So the volume of the room is = 6 x 3 x 2 = 36 cubic feet