The equation of line in standard form is:
![-15x+8y=115](https://tex.z-dn.net/?f=-15x%2B8y%3D115)
Further explanation:
Given points are:
(-5,5) and (3,20)
Let (x1,y1) = (-5,5)
Let (x2,y2) = (3,20)
The general equation is:
y=mx+b
We have to find the slope first
![m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{20-5}{3+5}\\=\frac{15}{8}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%3D%20%5Cfrac%7B20-5%7D%7B3%2B5%7D%5C%5C%3D%5Cfrac%7B15%7D%7B8%7D)
![y=\frac{15}{8}x+b](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B15%7D%7B8%7Dx%2Bb)
To find the value of b, putting (3,20) in equation
![20=\frac{15}{8}(3)+b\\20=\frac{45}{8}+b\\20-\frac{45}{8}=b\\b=\frac{160-45}{8}\\b=\frac{115}{8}](https://tex.z-dn.net/?f=20%3D%5Cfrac%7B15%7D%7B8%7D%283%29%2Bb%5C%5C20%3D%5Cfrac%7B45%7D%7B8%7D%2Bb%5C%5C20-%5Cfrac%7B45%7D%7B8%7D%3Db%5C%5Cb%3D%5Cfrac%7B160-45%7D%7B8%7D%5C%5Cb%3D%5Cfrac%7B115%7D%7B8%7D)
Putting the values of b and m in equation
![y=\frac{15}{8}x+\frac{115}{8}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B15%7D%7B8%7Dx%2B%5Cfrac%7B115%7D%7B8%7D)
Multiplying both sides by 8
![8y=\frac{15}{8}x*8+\frac{115}{8}*8\\8y=15x+115\\-15x+8y=115](https://tex.z-dn.net/?f=8y%3D%5Cfrac%7B15%7D%7B8%7Dx%2A8%2B%5Cfrac%7B115%7D%7B8%7D%2A8%5C%5C8y%3D15x%2B115%5C%5C-15x%2B8y%3D115)
Keywords: Standard form of equation of line, slope
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#LearnwithBrainly
Answer:
4
Step-by-step explanation:
im assuming x is the top side of the trapezium because there is no picture provided.
the formula for area of trapezium is:
height x (base + (difference of the base and the topside/2))
so we would do the inverse of this:
22/4 = 5.5
7-5.5 = 1.5
1.5x2 = 3
7-3 = 4
x = 4
Answer: 19.8 centimeters
Step-by-step explanation: