Answer:
3y = -x + 17
Step-by-step explanation:
Equation of a line is in the form:
y = mx + c
where m is slope and c is intercept
Mathematically;
slope m = (y2-y1)/(x2-x1)
= (6-4)/(-1-5) = 2/-6 = -1/3
So the equation is now;
y = -x/3 + c
Multiply through by 3
3y = -x + 3c
To get c substitute the value of a point say (5,4)
x = 5 and y = 4
3(4) = -5 + 3c
12 = -5 + 3c
12+ 5 = 3c
3c = 17
c = 17/3
So the equation is
y = -x/3 + 17/3
and that is
3y = -x + 17
