Answer:
[tex]y = \frac{2}{5} x - 1[/tex]
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient, hence m=[tex] \frac{2}{5} [/tex]
[tex]y = \frac{2}{5} x + c[/tex]
To find c, substitute a coordinate into the equation.
When x= -5, y= -3,
[tex] - 3 = \frac{2}{5} ( - 5) + c \\ - 3 = - 2 + c \\ c = - 3 + 2 \\ c = - 1[/tex]
Thus, the equation of the line is [tex]y = \frac{2}{5} x - 1[/tex]
