The equation of line through given points is:
![y=\frac{4}{3}x+\frac{10}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B4%7D%7B3%7Dx%2B%5Cfrac%7B10%7D%7B3%7D)
Step-by-step explanation:
Given
(x1,y1) = (2,6)
(x2,y2) = (-4,-2)
Slope-intercept form is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
We have to find the slope first
![m=\frac{y_2-y_1}{x_2-x_1}\\Putting\ values\\m=\frac{-2-6}{-4-2}\\=\frac{-8}{-6}\\=\frac{4}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5CPutting%5C%20values%5C%5Cm%3D%5Cfrac%7B-2-6%7D%7B-4-2%7D%5C%5C%3D%5Cfrac%7B-8%7D%7B-6%7D%5C%5C%3D%5Cfrac%7B4%7D%7B3%7D)
Putting the value of slope in the equation
![y=\frac{4}{3}x+b](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B4%7D%7B3%7Dx%2Bb)
To get the value of b, we will put (2,6) in the equation
![6=\frac{4}{3}(2}+b\\6=\frac{8}{3}+b\\b=6-\frac{8}{3}\\b=\frac{18-8}{3}\\b=\frac{10}{3}](https://tex.z-dn.net/?f=6%3D%5Cfrac%7B4%7D%7B3%7D%282%7D%2Bb%5C%5C6%3D%5Cfrac%7B8%7D%7B3%7D%2Bb%5C%5Cb%3D6-%5Cfrac%7B8%7D%7B3%7D%5C%5Cb%3D%5Cfrac%7B18-8%7D%7B3%7D%5C%5Cb%3D%5Cfrac%7B10%7D%7B3%7D)
Putting the values of b and m we get
![y=\frac{4}{3}x+\frac{10}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B4%7D%7B3%7Dx%2B%5Cfrac%7B10%7D%7B3%7D)
The equation of line through given points is:
![y=\frac{4}{3}x+\frac{10}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B4%7D%7B3%7Dx%2B%5Cfrac%7B10%7D%7B3%7D)
Keywords: Equation of line, Slope
Learn more about equation of line at:
#LearnwithBrainly
Answer:
the answer to the question is x equals y/3 plus 1/3.
Answer:
3/5
Step-by-step explanation:
Solutions
Associative Property is a rule that refers to grouping. The rule is "<span>a + (b + c) = (a + b) + c</span><span>".
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The correct answers are (A) and (D)
(A) = <span> (11 + 2.2) + (–5) = 11 + [2.2 + (–5)]
(D) = </span><span>–7 + [4 + (–2.1 • 6)] = (–7 + 4) + (–2.1 • 6)</span>
Answer:
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