Equation of line passing through two points (-6,-2) and (-9,-1) is f(x)=-1/3x-4.
<h3>What is equation of line?</h3>
y=mx+b is the equation of line where m is the slope and b is the y intercept.
Since slope of line passing through two points (x₁, y₁) and (x₂, y₂)
m=y₂-y₁/x₂-x₁
slope of line passing through two points (-6,-2) and (-9,-1)
y₂=-1,y₁=-2, x₂=-9, and x₁=-6
m=-1-(-2)/-9-(-6)
=-1+2/-9+6
=1/-3
=-1/3
Therefore, the slope of the line is -1/3.
Now use the slope and either of the two points to find the y-intercept.
y=mx+b for (-6, -2)
-2=-1/3(-6)+b
-2=2+b
b=-4
Hence equation of line will be
y=-1/3x-4
f(x)=-1/3x-4
Therefore equation of line passing through two points (-6,-2) and (-9,-1) is f(x)=-1/3x-4.
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