Answer:
y = -2/7x - 32/7
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
The slope is -2/7
y = -2/7 x+b
We know a point on the line is (5,-6)
Substitute this into the equation
-6 = -2/7(5) +b
-6 = -10/7+b
Add 10/7 to each side
-6 +10/7 = b
-42/7 + 10/7 = b
-32/7 = b
y = -2/7x -32/7