Answer:
y=2/3x-3
Step-by-step explanation:
The slope-intercept formula for a line is: y=mx+b.
If the y-intercept is (0, -3), that means that the y-intercept ("b") is -3.
Updated equation: y=mx-3.
Plug in the point that you were given.. (-9,-9).
-9=-9m-3.
Add 3 to both sides.
-6=-9m.
Divide by -9.
m=-6/-9 = 6/9 = 2/3
The slope ("m") equals 2/3.
y=2/3x-3 is your equation.
The equation of a line through given points is required.
The equation of the line is [tex]y=\dfrac{2}{3}x-3[/tex]
The points are
[tex](0,-3)[/tex]
[tex](-9,-9)[/tex]
Equation of a line is given by
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\Rightarrow y-(-3)=\dfrac{-9-(-3)}{-9-0}(x-0)\\\Rightarrow y+3=\dfrac{2}{3}x\\\Rightarrow y=\dfrac{2}{3}x-3[/tex]
The equation of the line is [tex]y=\dfrac{2}{3}x-3[/tex]
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