Find the equation of the line shown.
1 answer:
Answer:
![\huge\boxed{y=-\dfrac{1}{4}x+2}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7By%3D-%5Cdfrac%7B1%7D%7B4%7Dx%2B2%7D)
Step-by-step explanation:
The slope-intercept form of an equation of a line:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
- slope
- y-intercept (0, b)
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
- points on the line
From the graph we have two points (<em>look at the picture</em>)
and ![(0; 2)\to b=2](https://tex.z-dn.net/?f=%280%3B%202%29%5Cto%20b%3D2)
Calculate the slope:
![m=\dfrac{2-1}{0-4}=\dfrac{1}{-4}=-\dfrac{1}{4}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B2-1%7D%7B0-4%7D%3D%5Cdfrac%7B1%7D%7B-4%7D%3D-%5Cdfrac%7B1%7D%7B4%7D)
Put the values of
and
to the equation of a line:
[tex]y=-\dfrac{1}{4}x+2[tex]
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