Question

PLEASE HELP WILL GIVE BRAINIEST

Answer 1

Answer:

1. B

2. A$(y+1)=\frac{8}{9} (x+4)\\y+1=\frac{8}{9} x+\frac{8}{9} *4\\y+1=\frac{8}{9} x+\frac{32}{9}\\9*(y+1=\frac{8}{9} x+\frac{32}{9})\\9y+9=8x+32\\-8x+9y=32-9\\-8x+9y=23$

Step-by-step explanation:

The point slope form of a line is $(y-y_1)=m(x-x_1)$ where $x_1=-4\\y_1=-1$. We write

$(y--1)=m(x--4)\\(y+1)=m(x+4)$

To find m, count the slope from each marked point on the graph. Notice one is 1/2 so we will count by halves. The slope is 8/9

This means B is the point slope form. To convert to the standard form, it must be written as $ax^2+by^2=c$. We convert using inverse operations.