Answer: 7
Step-by-step explanation:
7
Answer:
b part is the correct answer
You got this you can do it I don’t know the answer but I hope you find someone who does(:
Answer:
Third option: ![y= \frac{1}{4}x+2](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B1%7D%7B4%7Dx%2B2)
Step-by-step explanation:
<h3><em> The correct form of the exercise is: "The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is
![y -4 = \frac{1}{4}(x -8)](https://tex.z-dn.net/?f=y%20-4%20%3D%20%5Cfrac%7B1%7D%7B4%7D%28x%20-8%29)
. What is the slope-intercept form of the equation for this line?"</em></h3><h3><em /></h3>
<em> </em>The equation of the line in Slope-Intercept form is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where "m" is the slope and "b" is the y-intercept.
Given the equation of the line in Point-Slope form:
![y -4 = \frac{1}{4}(x -8)](https://tex.z-dn.net/?f=y%20-4%20%3D%20%5Cfrac%7B1%7D%7B4%7D%28x%20-8%29)
You need to solve for "y" in order to write the given equation of the line in Slope Intercept form.
Then, this is:
![y -4 = \frac{1}{4}(x -8)\\\\y-4= \frac{1}{4}x-\frac{8}{4}\\\\y-4= \frac{1}{4}x-2\\\\y= \frac{1}{4}x-2+4\\\\y= \frac{1}{4}x+2](https://tex.z-dn.net/?f=y%20-4%20%3D%20%5Cfrac%7B1%7D%7B4%7D%28x%20-8%29%5C%5C%5C%5Cy-4%3D%20%5Cfrac%7B1%7D%7B4%7Dx-%5Cfrac%7B8%7D%7B4%7D%5C%5C%5C%5Cy-4%3D%20%5Cfrac%7B1%7D%7B4%7Dx-2%5C%5C%5C%5Cy%3D%20%5Cfrac%7B1%7D%7B4%7Dx-2%2B4%5C%5C%5C%5Cy%3D%20%5Cfrac%7B1%7D%7B4%7Dx%2B2)
You can identify that the slope "m" is:
![m=\frac{1}{4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B4%7D)
And the y-interecept "b" is:
![b=2](https://tex.z-dn.net/?f=b%3D2)