PLEASE ANSWER ASAP! THANK YOUU SOO MUCH! What is the equation of a line, in point- slope form, that passes through (5, –3)and has a slope of 2/3?

A. y+3= 2/3 (x-5)
B. y+5= 2/3 (x-3)
C. y-3= 2/3 (x+5)
D. y-5= 2/3 (x+3)

Let

y=f(x)

so

y=log9x

we know that

applying property of logarithms

y= log9x is equal to

> equation 1

so

case 1) (-1/81, 2)

x=-1/81

y=2

substitute the value of y in the equation 1 to obtain the value of x

81 is not equal to -1/81> the point does not belong to the graph

case 2) (0, 1)

x=0

y=1

substitute the value of y in the equation 1 to obtain the value of x

9 is not equal to 0> the point does not belong to the graph

case 3) (1/9, -1)

x=1/9

y=-1

substitute the value of y in the equation 1 to obtain the value of x

1/9 is equal to 1/9> the point belongs to the graph

case 4) (3, 243)

x=3

y=243

substitute the value of y in the equation 1 to obtain the value of x

9^{243} is not equal to 3> the point does not belong to the graph

case 5) (9, 1)

x=9

y=1

substitute the value of y in the equation 1 to obtain the value of x

9 is equal to 9> the point belongs to the graph

case 6) (81, 2)

x=81

y=2

substitute the value of y in the equation 1 to obtain the value of x

81 is equal to 81> the point belongs to the graph