Answer:
![y=\frac{1}{4}x](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7Dx)
Step-by-step explanation:
Given equation of line:
![y=-4x+7](https://tex.z-dn.net/?f=y%3D-4x%2B7)
To find the equation of line perpendicular to the line of the given equation and passes through point (8,2).
Applying slope relationship between perpendicular lines.
![m_1=-\frac{1}{m_2}](https://tex.z-dn.net/?f=m_1%3D-%5Cfrac%7B1%7D%7Bm_2%7D)
where
and
are slopes of perpendicular lines.
For the given equation in the form
the slope
can be found by comparing
with standard form.
∴ ![m_2=-4](https://tex.z-dn.net/?f=m_2%3D-4)
Thus slope of line perpendicular to this line
would be given as:
![m_1=-\frac{1}{-4}](https://tex.z-dn.net/?f=m_1%3D-%5Cfrac%7B1%7D%7B-4%7D)
∴ ![m_1=\frac{1}{4}](https://tex.z-dn.net/?f=m_1%3D%5Cfrac%7B1%7D%7B4%7D)
The line passes through point (8,2)
Using point slope form:
![y_-y_1=m(x_-x_1)](https://tex.z-dn.net/?f=y_-y_1%3Dm%28x_-x_1%29)
Where
and ![m=m_1=\frac{1}{4}](https://tex.z-dn.net/?f=m%3Dm_1%3D%5Cfrac%7B1%7D%7B4%7D)
So,
![y-2=\frac{1}{4}(x-8)](https://tex.z-dn.net/?f=y-2%3D%5Cfrac%7B1%7D%7B4%7D%28x-8%29)
Using distribution.
![y-2=(\frac{1}{4}x)-(\frac{1}{4}\times 8)](https://tex.z-dn.net/?f=y-2%3D%28%5Cfrac%7B1%7D%7B4%7Dx%29-%28%5Cfrac%7B1%7D%7B4%7D%5Ctimes%208%29)
![y-2=\frac{1}{4}x-2](https://tex.z-dn.net/?f=y-2%3D%5Cfrac%7B1%7D%7B4%7Dx-2)
Adding 2 to both sides.
![y-2+2=\frac{1}{4}x-2+2](https://tex.z-dn.net/?f=y-2%2B2%3D%5Cfrac%7B1%7D%7B4%7Dx-2%2B2)
![y=\frac{1}{4}x](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7Dx)
Thus the equation of line in standard form is given by:
![y=\frac{1}{4}x](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7Dx)
Answer:
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Step-by-step explanation:
brainlest if helped
Answer:
<u>2</u><u> </u><u> </u>y
3x²
Step-by-step explanation:
<u>4</u><u>xy</u><u>³</u>
6x³y²
lowest term 4 and 6
Rule on dividing exponents: subtract them
Answer:
The slope is 4
Step-by-step explanation:
y=-5+4x
We can rewrite the equation in the form
y = mx+b where m is the slope and b is the y intercept
y = 4x-5
The slope is 4 and the y intercept is -5