Answer:
y= -x-6
Step-by-step explanation:
slope intercept is as follows
y=mx+b
where m is the slope and b is the y intercept (where the line crosses the y axis)
We can see that the x intercept is -6 which means our equation so far is y=mx-6 and so we just need the slope
To find the slope I will use the slope formula
To use the slope formula you will need two points on the graph. I am going to pick the y intercept and the point next to it
Which means our two points are
(0,-6) and (1,-7)
The slope formula is as follows
(y₂-y₁)/(x₂-x₁)
Plug in our values and get
(-7-(-6)/(1-0)
-1/1
-1 is our slope
which means our final equation is
-x-6