Answer:
y= -x +6
Step-by-step explanation:
Equation of a line in slope intercept form is y= mx+b where m is slope and b is y-intercept ( where the graph intersects the y-axis)
slope by looking at the graph:
-take any points on the graph, for example ( 6, 0) and (0, 6)
-to get from (6,0) to (0, 6) go 6 units up and 6 to the left
-slope is m = rise / run = 6 / -6= -1
y-intercept is 6 because there is where the line intersects the y-axis
y= -1*x + 6
y = -x +6