The equation of the line is [tex]y=-\frac{2}{5}x-5[/tex]
Explanation:
Given that the line passes through the points (-5,-3)
The slope of the line is [tex]m=-\frac{2}{5}[/tex]
We need to determine the equation of the line.
Equation of the line:
The equation of the line can be determined using the formula,
[tex]y-y_1=m(x-x_1)[/tex]
Let us substitute the points (-5,-3) and the slope [tex]m=-\frac{2}{5}[/tex] in the above formula.
Thus, we have;
[tex]y+3=-\frac{2}{5}(x+5)[/tex]
Simplifying, we get;
[tex]y+3=-\frac{2}{5}x-2[/tex]
Subtracting 3 from both sides of the equation, we get;
[tex]y=-\frac{2}{5}x-5[/tex]
Hence, the equation of the line in slope - intercept form is [tex]y=-\frac{2}{5}x-5[/tex]
