Original line: y=1/2x-9
Perpendicular lines have opposite slopes from the original lines. Since the original slope is 1/2, the perpendicular slope will be -2/1 or -2. The numbers switch places and switches from positive to negative.
New line: y=-2x+b
To solve for the y-intercept (b), plug the given coordinates (3,2) into the x and y spots in the equation:
2=-2(3)+b
Now, solve for b.
2=-6+b
Add 6 to both sides.
8=b
The y intercept is 8.
Now, your perpendicular line equation is:
y=-2x+8
I hope this helps :)
To calculate this, we have to establish a proportion :
If 1 gallon of milk is drunk in 3 days,
X gallons will be drunk in 5 days
X gallons = 1 gallon*5days/3days = 1.66 gallons will drink in 5 days.
We can round to the first decimal place 1.66 ≈ 1.7 gallons approximately.
Answer : 1.7 gallons will Brian family drink in five days, approximately.
Hope this helps!