Answer:
y = 3/5x + 5
Step-by-step explanation:
Gradient of the line
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\\frac{2 - 5}{-5 - 0}\\\\\frac{-3}{-5}[/tex]
[tex]\frac{3}{5}[/tex]
y = 3/5x + c
Substitute either point in to find c
y = 3/5x + c at (0,5)
5 = 3/5(0) + c
5 = 0 + c
5 = c
y = 3/5x + c at (-5,2)
2 = 3/5(-5) + c
2 = -3 + c
2 + 3 = c
5 = c
y = 3/5x + c
Replace c with 5
y = 3/5x + 5
