Answer:
The equation of line is [tex]5(y-4) = 2( x+2)[/tex]
[tex]2 x-5 y+24=0[/tex]
Step-by-step explanation:
Step 1:-
Given slope is [tex]m = \frac{2}{5}[/tex] and passes through (-2,4)
[tex]y-y_{1}= m(x-x_{1} )[/tex]
[tex]y-4 = \frac{2}{5}(x-(-2))[/tex]
[tex]5(y-4) = 2( x+2)[/tex]
[tex]2 x-5 y+24=0[/tex]