Answer:
-2/3
y=-2/3 x -1
Step-by-step explanation:
To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-1}{3--3}=\frac{-4}{3+3}=\frac{-4}{6}=\frac{-2}{3}[/tex]
Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-1)=-2/3(x--3)
y-1=-2/3(x+3)
y=-2/3 x -6/3 +1
y=-2/3 x -1
