We have to calculate the slope of this line;
Given two points (x₁,y₁) and (x₂,y₂) the slope of the line passes through these points is:
m=(y₂-y₁)/(x₂-x₁)
We have many points in this line, we can choose any two points in this line.
For example:
(-4,-1)
(1/2,3)
The slope will be: m=(3+1)/(1/2+4)=4/(9/2)=8/9
Point-slope form of a line; We need a point (x₀,y₀)(any point of this line) and the slope "m";
y-y₀=m(x-x₀)
For example; the point can be ((-4,-1) and the slope of this line is 8/9
y+1=(8/9)(x+4)
y+1=8/9 x+32/9
9y/9+9/9=8/9 x+32/9
9y+9=8x+32
-8x+9y=32-9
-8x+9y=23 (equation in standard form)
Answer: A. -8x+9y=23
