Recall that the equation of a line in slope-intercept form is given by
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept of the line.
The y-intercept is the point where the line intersects the y-axis.
From the graph, we can see that the line intersects the y-axis at y = -3
So, the y-intercept is -3
The slope of the line is given by
[tex]m=\frac{\text{rise}}{\text{run}}=\frac{-3}{4}[/tex]
The rise is the vertical distance between the two points on the line.
The run is the horizontal distance between the two points on the line.
So, the equation of the line is
[tex]y=-\frac{3}{4}x-3[/tex]
Therefore, option A is the correct answer.
