Perpendicular lines have opposite reciprocals from the original line.
Original line: y=-3/4x+6
Perpendicular line: y=4/3x+b
Solve for b by plugging in the given coordinates (3,9) for x and y respectively.
9=4/3(3)+b
Multiply 4/3*3.
9=4+b
Subtract 4 from both sides.
5=b
Now, with b and the slope, you can write the equation:
y=4/3x+5
I hope this helps :)
Answer:
He will be in 40 dollars in debt, and if he doesn't pay the money he borrowed back soon his interest will begin to pile up.
Step-by-step explanation:
Graph will look like this if this is one of the options
Rate of change
find a2 and a4
a2=27(1/3)^(2-1)=27 times 1/3=9
a4=27(1/3)^(4-1)=27 times 1/27=1
rate of change=(a4-a2)/(4-2)=(1-9)/(4-2)=-8/2=-4
average rate of change is -4