Which equation represents the line that passes through the points (2, 4) and (1, -3)?
1 answer:
Answer:
y = 7x - 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (1, - 3)
m = =
= 7, thus
y = 7x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 4), then
4 = 14 + c ⇒ c = 4 - 14 = - 10
y = 7x - 10 ← equation of line
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Answer: 308 gallons of water.
Step-by-step explanation:
First find the volume of the water been.
The volume of a rectangular prism uses the formula
V= L * W *H
V = 8 * 5 * 1
V = 40 ft^3
Now we will convert 40ft into gallons using what they gave us that 1 gallon is 0.13 ft^3
which means if 1 gallon is 0.13 cubic feet how much will 40 cubic feet be when converted to gallons.
Solve by cross product.
0.13x = 40 divide both sides by 0.13
x= 308