Answer:
A
Step-by-step explanation:
Third, the graph decreases from left to right because if you plug it into a graphing calculator - you can see that the line is a straight line, and does not decrease or increase whatsoever
The main point which will immediately make it clear is that you have to plug in 2 for x so that you can find the linit. So, using this simple method you will get the <span>-1/4 answer. Hope you will agree with me and find this useful! Regards.</span>
Answer: y = 3x-8
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Explanation:
The slope is 3, so m = 3
The given point is (3,1) meaning x = 3 and y = 1. The x coordinate is always listed first in an ordered pair. The general format is (x,y)
We'll use m = 3, x = 3 and y = 1 to find the y intercept
y = mx+b
y = m*x+b
1 = 3*3+b ... plug in m = 3, x = 3 and y = 1
1 = 9+b
1-9 = 9+b-9 ... subtract 9 from both sides
-8 = b
b = -8
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So we're given m = 3 as the slope and we just found that b = -8 is the y intercept
So y = mx+b updates to y = 3x-8. This is the final answer.
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Side Notes:
* The slope of 3 means rise/run = 3/1 indicating each time we go up 3, we move to the right 1
* The y intercept -8 is the location on the vertical y axis numberline where the graph crosses. The point (0,-8) is on this line.
Answer:
Step-by-step explanation:
a1=2/3
sequence is 2/3,3/4,4/5,...
for numerator a1=2
d=3-2=1
numerator of nth term=a1+(n-1)d=2+(n-1)×1=2+n-1=n+1
denominator = 1 more than numerator=n+1+1=n+2
so an=(n+1)/(n+2)
or for denominator a1=3,d=4-3=1
denominator of nth term=3+(n-1)×1=3+n-1=n+2
an=(n+1)/(n+2)