Answer:
![y=\frac{1}{2} x-\frac{5}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7D%20x-%5Cfrac%7B5%7D%7B2%7D)
Step-by-step explanation:
Hi there!
<u>Note that</u>:
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis) - Perpendicular lines always have slopes that are negative reciprocals of each other (ex. 3 and -1/3, 5/6 and -6/5, etc.)
<u>1) Determine the slope (m)</u>
When we look at the given line,
, we can identify that -2 is in the place of m, the slope of the line. Because perpendicular lines are negative reciprocals of each other, we know that a line perpendicular to this would have a slope of
. Plug this into
:
![y=\frac{1}{2} x+b](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7D%20x%2Bb)
<u>2) Determine the y-intercept (b)</u>
![y=\frac{1}{2} x+b](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7D%20x%2Bb)
Plug in the given point (1,-2)
![-2=\frac{1}{2}(1)+b\\-2=\frac{1}{2}+b](https://tex.z-dn.net/?f=-2%3D%5Cfrac%7B1%7D%7B2%7D%281%29%2Bb%5C%5C-2%3D%5Cfrac%7B1%7D%7B2%7D%2Bb)
Subtract 1/2 from both sides
![-2-\frac{1}{2}=\frac{1}{2}+b-\frac{1}{2}\\-\frac{5}{2} = b](https://tex.z-dn.net/?f=-2-%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B2%7D%2Bb-%5Cfrac%7B1%7D%7B2%7D%5C%5C-%5Cfrac%7B5%7D%7B2%7D%20%3D%20b)
Therefore, the y-intercept of the line is
. Plug this back into ![y=\frac{1}{2} x+b](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7D%20x%2Bb)
![y=\frac{1}{2} x-\frac{5}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7D%20x-%5Cfrac%7B5%7D%7B2%7D)
I hope this helps!
Answer:
1.6
Step-by-step explanation:
1 and 6/10 = 1.6 as a decimal
Answer:
k=6/5=1.200 or k=2
Step by step Explanation:
Answer:
b
Step-by-step explanation: