Answer:
2/9 ft/month
Step-by-step explanation:
A growth of 2/3 foot in 3 months =
= (2/3 ft)/(3 months)
= (2/3) / 3 ft/month
= 2/3 * 1/3 ft/month
= 2/9 ft/month
Answer:
x=9
Step-by-step explanation:
Subtract 10 to both sides leaving 2x=18 and divide 2 to get 9.
Option C:
is the right answer
Step-by-step explanation:
Given points are:
(x1,y1) = (-1,2)
(x2,y2) = (3,4)
First of all, the slope has to be found
![m =\frac{y_2-y_1}{x_2-x_1}\\=\frac{4-2}{3+1}\\= \frac{2}{4}\\=\frac{1}{2}](https://tex.z-dn.net/?f=m%20%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%3D%5Cfrac%7B4-2%7D%7B3%2B1%7D%5C%5C%3D%20%5Cfrac%7B2%7D%7B4%7D%5C%5C%3D%5Cfrac%7B1%7D%7B2%7D)
The slope-intercept form of line is:
![y = mx+b](https://tex.z-dn.net/?f=y%20%3D%20mx%2Bb)
Putting the value of m
![y = \frac{1}{2}x+b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%2Bb)
Putting (3,4) in equation
![4 = \frac{1}{2}(3) +b\\4 = \frac{3}{2} +b\\b = 4 - \frac{3}{2}\\= \frac{8-3}{2}\\=\frac{5}{2}](https://tex.z-dn.net/?f=4%20%3D%20%5Cfrac%7B1%7D%7B2%7D%283%29%20%2Bb%5C%5C4%20%3D%20%5Cfrac%7B3%7D%7B2%7D%20%2Bb%5C%5Cb%20%3D%204%20-%20%5Cfrac%7B3%7D%7B2%7D%5C%5C%3D%20%5Cfrac%7B8-3%7D%7B2%7D%5C%5C%3D%5Cfrac%7B5%7D%7B2%7D)
Putting the value of b
![y = \frac{1}{2}x+\frac{5}{2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B5%7D%7B2%7D)
Hence,
Option C:
is the right answer
Keywords: Equation of line, slope
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