Answer:
y = -2x - 5
Step-by-step explanation:
Let the equation if the line be y = mx + c
since the line is parallel to y = -2x - 8, their gradients/slope must be the same (aka m = -2)
sub (-4, 3):
3 = -2(-4) + c
c = -5
therefore, the equation of the line is y = -2x - 5
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Answer: "Even after the fire, Brown was confident in his decision not to correct the mistake."
Explanation: I know this because I took a test with this question and got it right.
Step-by-step explanation:
-inf<= x <= inf
-inf<= y <= 4
It is a function
Answer:
The Linear equation is 
The Total Cost to rent canoe is $44.5.
Step-by-step explanation:
Given:
deposit to rent a canoe = $25.00
Hourly charge for visiting deep creek lake = $6.50 per hour
we need to rent the canoe from 12:30 to 3:30 PM.
We need to find the total cost to rent the canoe.
Now Total number of hours (h) 12:30 to 3:30 PM = 3 hours
Hence Total Cost will be equal to deposit to rent a canoe plus Hourly charge for visiting deep creek lake multiplied by number of hours to visit.
Hence framing in equation form we get;
Total Cost to rent canoe = 
hence the Linear equation is 
Solving the equation we get;
Total Cost = 
Hence the Total Cost to rent canoe is $44.5.
Answer:
The graph of given function is shown below.
Step-by-step explanation:
The parent natural logarithmic function is

The given function is

It means
.... (1)
The translation is defined as
.... (2)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2) we get

It means the graph of parent function shifts 5 units up to get the graph of given function.
Table of values:
x y
0.25 3.614
0.5 4.307
1 5
2 5.693
Plot these points on a coordinate plane connect then by a free hand curve.
The graph of given function is shown below.