1 acre = 43.560 ft²
5,280 ft = 1 mile
Area of the farm:
0.7 miles · 0.9 miles = 3,696 ft · 4,752 ft = 17,563,392 ft²
17,563,392 ft² : 43,560 = 403.2 acres
Plug it in:
3x + 6(3) = 24
3x + 18 = 24
Then subtract both sides by 18:
3x + 18 - 18 = 24 - 18
3x = 6
Then, divide both sides by 3
3x/3 = 6/3
Simplify,
x = 2
The equation of line is:
as the y-intercept is zero
Step-by-step explanation:
Given
(-2,3)
Equation of line => 3x+2y=6
Converting the equation in slope intercept form
![3x+2y=6\\2y=-3x+6\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=-\frac{3}{2}x+\frac{6}{2}\\y=-\frac{3}{2}x+3](https://tex.z-dn.net/?f=3x%2B2y%3D6%5C%5C2y%3D-3x%2B6%5C%5CDividing%5C%20both%5C%20sides%5C%20by%5C%202%5C%5C%5Cfrac%7B2y%7D%7B2%7D%3D-%5Cfrac%7B3%7D%7B2%7Dx%2B%5Cfrac%7B6%7D%7B2%7D%5C%5Cy%3D-%5Cfrac%7B3%7D%7B2%7Dx%2B3)
The co-efiicient of x is the slope of the fiven line
So,
m=-3/2
The line parallel to given line will have the same slope as slopes of two parallel lines are equal
Now,
Slope-intercept form is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Putting the value of slope
![y=-\frac{3}{2}x+b](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B2%7Dx%2Bb)
to find the value of b, put (-2,3) in the equation
![3=-\frac{3}{2}(-2)+b\\3=3+b\\b=0\\](https://tex.z-dn.net/?f=3%3D-%5Cfrac%7B3%7D%7B2%7D%28-2%29%2Bb%5C%5C3%3D3%2Bb%5C%5Cb%3D0%5C%5C)
Putting the value of b and m
![y=-\frac{3}{2}x+0\\y=-\frac{3}{2}x](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B2%7Dx%2B0%5C%5Cy%3D-%5Cfrac%7B3%7D%7B2%7Dx)
Hence,
The equation of line is:
as the y-intercept is zero
Keywords: Slope-intercept form, Slope
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