Answer:
The equation of the line is:
![y = -\frac{1}{2}x + 3](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B2%7Dx%20%2B%203)
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
In which m is the slope and b is the y-intercept.
Perpendicular lines:
If two lines are perpendicular, this means that the multiplication of their slopes is -1.
Perpendicular to y=2x+7
This means that:
![2m = -1](https://tex.z-dn.net/?f=2m%20%3D%20-1)
![m = -\frac{1}{2}](https://tex.z-dn.net/?f=m%20%3D%20-%5Cfrac%7B1%7D%7B2%7D)
So
![y = -\frac{1}{2}x + b](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B2%7Dx%20%2B%20b)
Passing through the point (-4,5)
This means that when
. We use this to find b.
![y = -\frac{1}{2}x + b](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B2%7Dx%20%2B%20b)
![5 = -\frac{1}{2}(-4) + b](https://tex.z-dn.net/?f=5%20%3D%20-%5Cfrac%7B1%7D%7B2%7D%28-4%29%20%2B%20b)
![2 + b = 5](https://tex.z-dn.net/?f=2%20%2B%20b%20%3D%205)
![b = 3](https://tex.z-dn.net/?f=b%20%3D%203)
The equation of the line is:
![y = -\frac{1}{2}x + 3](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B2%7Dx%20%2B%203)
Answer:
Thx
Step-by-step explanation:
so its free points right?
make the y int -4 because it passes through (0,-4). to make perpendicular, apply same slope to new equation but change sign
Answer:
m = 1/15
Step-by-step explanation:
-1/3 + 2m = -1/5
+1/3 +1/3
2m = 2/15
m = 1/15