Answer:
y = -(3/5)x - 1
Explanation:
The equation of a line has the form:
y = mx + b
Where m is the slope and b is the y-intercept.
The slope m can be calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where (x₁, y₁) and (x₂, y₂) are two points in the line.
So, if we replace (x₁, y₁) by (0, -1) and (x₂, y₂) by (5, -4), we get that the slope is equal to:
[tex]m=\frac{-4-(-1)}{5-0}=\frac{-4+1}{5}=\frac{-3}{5}[/tex]On the other hand, the y-intercept is the point when the line crosses the y-axis. In this case, the line crosses the y-axis at y = -1, so the y-intercept is -1.
Therefore, the equation of the line is:
y = -(3/5)x - 1
