Write the equation of the line in slope intercept form that passes through the point (-6, 1) and has a slope of 1/6.

y = 1/6x + 2

Step-by-step 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!

step-by-step explanation: