Answer:
The equation in standard form is
2
3
x
−
y
=
7
.
Explanation:
The standard form for a linear equation is
A
x
B
y
=C
, where
A
,
B
,
and
C
are numbers, and
x
and
y
are variables.
y
=
2
3
x
−
7
Subtract
2
3
x
from both sides of the equation.
−
2
3
x
+
y
=
−
7
Multiply both sides by
−
1
.
2
3
x
−
y
=
7
A
=
2
3
,
B
=
−
1
,
C
=
7
In order to find the vector that points from A to B we need to subtract each component of A from the corresponding component of B, according to the formula:
v(a→b)=(b1−a1,b2−a2)
In this case we have :
v(a→b)=(−5−(−8),3−(−1))
<span>v(a→b)=(3,4)
</span>To find the magnitude we use the formula:
||v|= √(v1^2)+(v1^2)
So:
||v|= √(32)+(42)
||v|= √9+16
||v|= <span>√</span>25
||v|= 5
Take the natural log of both sides
ln(2^x)=ln(.125)
Xln(2)=ln(.125)
X=ln(.125)/ln(2)
X=-3
ALTERNATIVE ROUTE:
You know that 0.125 is equal to 1/8
And 1/2^3 is also equal to 1/8
So since you need the reciprocal to match it the exponent is a negative
-2 -3 / 3 - 1
-5 / 2
So the slope of the points is -5/2, and I have no explanation other than I used to point slope formula.
Answer:
95
Step-by-step explanation:
