Answer:
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Where m = slope of the line
b = y-intercept
Slope of the line 'm' = -[tex]\frac{2}{3}[/tex]
y-intercept 'b' of the line is equal to the y-intercept of another line given as,
[tex]y=\frac{2}{3}x-2[/tex]
Here y-intercept of the line 'b' = -2
Therefore, the equation of the line will be,
y = (-[tex]\frac{2}{3}[/tex])x + (-2)
[tex]y=-\frac{2}{3}x-2[/tex]
Here negative slope represents a line which is decreasing having y-intercept = -2
Therefore, last graph (bottom) given in the picture will be the answer.
