Hello!
So to find the y-coordinate we need an equation for the line. The equation we can use is
y = mx + b
In this we already know m(the slope which is 3) and we can find b by plugging in the points that are given.
10 = 3(0) + b
10 = 0 + b
10 = b
So now that we've found b, we can use this in our equation
y = 4x + b
So now we can plug in the x-coordinate that we know (2) and find the y - coordinate.
y = 4(2) + 10
y = 8 + 10
y = 18
18 is your y-coordinate
Answer:
D
Step-by-step explanation:
2(x+b) = ax+c
2x+2b = ax+c
c = 2b
First you want to know what y or x is i chose y for this on
so the equation i'm going to use is -2x-5y=3
i want to solve for y
-2x-5y=3
+2x +2x
-5y=2x+3
/-5 /-5 /-5
y=-2/5x+-3/5
Now that i solved for y we substitute our answer into the next equation to solve for x like this:
3x+8y=-6
3x+8(-2/5x+-3/5)=-6
3x+ -3.2x+-4.8=-6
-0.2x+-4.8=-6
+4.8 +4.8
-0.2x=-1.2
/-0.2 /-0.2
x=6
After you know what x is you substitute it in for any of the equations that we started with. I picked 3x+8y=-6 to find y.
3x+8y=-6
3*6+8y=-6
18+8y=-6
-18 -18
8y=-24
/8 /8
y=-3
Since we know what x and y are we substitute it with any of the equations that we started with. i picked -2x-5y=3
-2*6-5*-3=3
-12- -15=3
3=3
so our solution (6,-3) works
Answer: The correct option is
(D) The sequence is not arithmetic because the terms do not have a common difference.
Step-by-step explanation: We are given to select the true statement regarding the sequence that is graphed in the figure.
From the graph, we see that some of the points are (1, 1), (2, 4), (3, 9), (4, 16), (5, 25).
That is, if we write the graphed points in terms of a sequence <a(n)>, then we get
The sequence <a(n)> will be arithmetic if the difference between the consecutive terms is equal. That is, the terms should have a common difference.
Now,
This implies that the terms do not have a common difference and so the graphed function does not represent an arithmetic sequence.
Thus, the sequence is not arithmetic because the terms do not have a common difference.
Option (D) is CORRECT.
