Please consult the "Calculations" section of this ans .
The information we're given is below :
- slope : -1/3
- Point crossed by the line : (3, 6)
As per given information , we can do the following :
- Write the line's equation in point slope form
Point - slope form looks like so :
y-y₁=m(x-x₁)
y-6=-1/3(x-3)
y-6=-1/3x+1
y=-1/3x+1+7
y=-1/3x+6
↑ 
Answer: The value of g(x) is x+3.
Step-by-step explanation:
Since we have given that
Here,
We need to find the value of g(x):
Hence, the value of g(x) is x+3.
The answers should be the last 2
Answer:
-7
Step-by-step explanation:
2x+3=x-4
Let's start by subtracting 3 from both sides
2x=x-7
Now, subtract x from both sides
x=-7
Let's plug it in to make sure!
2(-7) +3= (-7)-4
-11=-11
Line perpendicular to a given line is = 1/m
To find m, use m =y2-y1/x2-x1 formula
m = (8-(-3))/(-7-4)
m = 11/-11,
m = -1
Use y= mx+c to find equation of line
Plug in a pair of values,
-3= -1(4)+ c
c= 1
Thus, equation is:
y = -x+1
Equation of line perpendicular to this line is:
y= x+1
Hope it helps :)
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