Answer:
The answer to your question is y = 4/3x + 1/3
Step-by-step explanation:
Data
Point A = (2, 3)
Point B = (5, 7)
Process
1.- Calculate the slope
x1 = 2 y1 = 3
x2 = 5 y2 = 7
m = (y2 - y1)/(x2 - x1)
- Substitution
m = (7 - 3)/(5 - 2)
- Slope
m = 4/3
2.- Find the equation of the line
y - y1 = m(x - x1)
y - 3 = 4/3(x - 2)
y - 3 = 4/3x - 8/3
y = 4/3x - 8/3 + 3
y = 4/3x - 8/3 + 9/3
y = 4/3x + 1/3
Answer:
b1 = 2 ; r = 3
Step-by-step explanation:
Given that :
if b3 −b1 = 16 and b5 −b3 = 144.
For a geometric series :
Ist term = a
Second term = ar
3rd term = ar^2
4th term = ar^3
5th term = ar^4 ;...
If b3 - b1 = 16;
ar^2 - a = 16
a(r^2 - 1) = 16 - - - (1)
b5 - b3 = 144
ar^4 - ar^2 = 144
ar^2(r^2 - 1) = 144 - - - - (2)
Divide (1) by (2)
a(r^2 - 1) / ar^2(r^2 - 1) = 16 /144
a / ar^2 = 1 / 9
ar^2 = 9a
Substitute for a in ar^2 - a = 16
9a - a = 16
8a = 16
a = 2
From ar^2 - a = 16
2r^2 - 2 = 16
2r^2 = 16 + 2
2r^2 = 18
r^2 = 18 / 2
r^2 = 9
r = √9
r = 3
Hence ;
a = b1 = 2 ; r = 3
Step-by-step explanation:
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Answer:
A
Step-by-step explanation:
You use the quadratic equation and substitute these values from the equation given
a=1,b=5, c=2
Which gives you the value of option A
