Answer:
y = -5x + 16
Step-by-step explanation:
Equation of line in slope intercept form is
y = mx + c where
m = slope of line and c is y intercept.
Given that slope of line is -5
hence we can use m = -5 then
equation of line will be y = -5x + c
this line passes though (2,6), hence
we put y = 6 and x = 2 in the equation y = -5x + c, to find c
y = -5x + c
=> 6 = -5*2 + c
=> 6 = -10 + c
=> c = 6+10 = 16
Thus, equation of line is y = -5x + 16 (i.e fourth option)
