Answer:
y = 4
Step-by-step explanation:
1) Simplify
to 243.

2) Simplify
to 531441.

3) Simplify
to 129140163.
4) Simplify
to 19683.

5) Simplify
to 6561.

6) Convert both sides to the same base.

7) Cancel the base of 9 on both sides.

Cheers,
ROR
Answer:
y =
x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) =( 8, - 3) and (x₂, y₂ ) = (0, - 5)
m =
=
= 
Note the line crosses the y- axis at (0, - 5 ) ⇒ c = - 5
y =
x - 5 ← equation of line
Answer:
B. y = 1/3x
Step-by-step explanation:
The slope of the given line is -3, so the slope of the perpendicular line will be the negative reciprocal of that: -1/(-3) = 1/3. This eliminates choices A and C.
We can find the y-intercept (b) if we use the given point values in the equation ...
y = 1/3x +b
we get ...
-2 = (1/3)(-6) +b
-2 = -2 +b . . . simplify
0 = b . . . . . . . add 2
So, the equation of the perpendicular line through the given point is ...
y = 1/3x . . . . matches choice B
_____
<em>Alternate solution method</em>
You can try the given point in the given equations. You will find that only the equation of choice B will work.
I need to see the diagram in order to answer your question.