Answer:
y = 1/6x + 2
Explanation:
point: (-6, 1)
slope 1/6
Our standard equation can be in the slope-intercept form: y = mx + b
m is the slope, which we know if 1/6. Plug this into our equation.
y = 1/6x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the point (-6, 1). Plug in the x and y values into the x and y of the standard equation.
1 = 1/6(-6) + b
To find b, multiply the slope and the input of x(-6)
1 = -1 + b
Now, add 1 from both sides to isolate b.
2 = b
Plug this into your standard equation.
y = 1/6x + 2
This is your equation.
Hope this helps!