Answer:
y= -x-7
Explanation:
1. we want to make the equation 3y= -30-3x in the form of y=mx+c
therefore, we divide each side by 3 this gives us
y= -10-x (we can also write that as y= -x-10)
2. From this we can tell that the gradient is -1 (the coefficient of x or also known as the value of m in y=mx+c)
3. we also know the line passes through the points (-6,-1) therefore
x= -6 and y=-1
4. we know the value of m, x, and y so we can substitute it in y=mx+c to find the value of c
y=mx+c
-1= -1(-6)+c
-1 =6+c (we -6 on both sides to get c on its own)
-7=c (so c=-7) (c is also known as y intercept)
5. Know we can sub in the value of m and c in the equation y=mx+c to get our final equation which is
y= -x-7