Answer:
![\[y=-\frac{1}{2}x+\frac{5}{2}\]](https://tex.z-dn.net/?f=%5C%5By%3D-%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B5%7D%7B2%7D%5C%5D)
Step-by-step explanation:
Equation of the given line: ![\[y=2x-3\]](https://tex.z-dn.net/?f=%5C%5By%3D2x-3%5C%5D)
Slope of the line = ![\[2\]](https://tex.z-dn.net/?f=%5C%5B2%5C%5D)
Slope of the perpendicular line = ![\[-\frac{1}{2}\]](https://tex.z-dn.net/?f=%5C%5B-%5Cfrac%7B1%7D%7B2%7D%5C%5D)
So the equation of the perpendicular line:
![\[y=-\frac{1}{2}x+c\]](https://tex.z-dn.net/?f=%5C%5By%3D-%5Cfrac%7B1%7D%7B2%7Dx%2Bc%5C%5D)
This passes through the point (-1,2).Substituting in the equation:
![\[2=-\frac{1}{2}*(-1)+c\]](https://tex.z-dn.net/?f=%5C%5B2%3D-%5Cfrac%7B1%7D%7B2%7D%2A%28-1%29%2Bc%5C%5D)
=>
=> ![\[c=\frac{5}{2}\]](https://tex.z-dn.net/?f=%5C%5Bc%3D%5Cfrac%7B5%7D%7B2%7D%5C%5D)
So the equation of the line :
![\[y=-\frac{1}{2}x+\frac{5}{2}\]](https://tex.z-dn.net/?f=%5C%5By%3D-%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B5%7D%7B2%7D%5C%5D)
Answer:
they are perpendicular
Step-by-step explanation:
because the slope are opposite which means the lines intersect.
Answer:
Midpoint = (3.5, 4.5)
Perpendicular bisector = y =
x + 
Step-by-step explanation:
[] We can solve this using the midpoint formula:
-> See attached
[] Plug-in our coordinates and solve:

[] Now we will find the slope to solve for the perpendicular bisector.
-> We will use slope-intercept form, see attached

-> The slopes of two perpendicular lines are negative reciprocals of each other, so
will be the slope of or perpendicular bisector
-> Now we can solve for the equation by using y – y1 = m ( x – x1), were y1 and x1 are the coordinates of our midpoint
y - 4.5 =
(x-3.5)
y - 4.5 =
x-
y =
x-
+ 4.5
y =
x + 
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
The slope of this line is -1 because it goes down one and to the right one