ANSWER
D. y = -5x + 3
EXPLANATION
The equation of a line in slope-intercept form is,
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
In this graph, we can see that the y-intercept - which is the value of y where the line intersects the y-axis, is 3,
To find the slope, we will use the second point shown in the graph above. The formula to find the slope of a line passing through points (x₁, y₁) and (x₂, y₂) is,
[tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]
Using the points (0, 3) and (1, -2),
[tex]m=\frac{3-(-2)}{0-1}=\frac{3+2}{-1}=-5[/tex]
Hence, the equation of the line is y = -5x + 3.
