Answer:

Step-by-step explanation:
Line g passes through (-2,6) and (-3,2).
The slope of line g is given by:

Let's substitute the values to get:

The equation that is perpendicular to line g will have a slope that is the negative reciprocal of 4.
i.e -1/4
If this line passes through (P,Q), then the equation is:

Answer: one solution
Step-by-step explanation:
CONCEPT:
- One solution is when the final variable would be able to find a solution.
- Infinite solution is when the equations result in 0=0, meaning any number will fit
- No solution is when the equation results in both sides on equal.
SOLVE:
Given
3/4x-7=3(1/6x+1)
Expand Parenthesis
3/4x-7=1/2+3
Multiply both sides by the LCM of fractions (Least Common Multiple)
4(3/4x-7)=4(1/2x+3)
3x-28=2x+12
Subtract both sides by 2x
3x-28-2x=2x+12-2x
x-28=12
Add both sides by 28
x-28+28=12+28
x=40
Since we are able to get exactly one solution, there is only one solution.
Hope this helps!! :)
Please let me know if you have any quesionts
M’ (-4, 7)
N’ (0, 5)
P’ (2, 0)
Q’ (-2, 1)
you basically change the x and y values by the value it says so you'd subtract 4 from x (the first number) and add 1 to y (the second number)
I hope this helps you
-3+3. (-4)=16
-3-12=16
-15=16 false