Question

What is the equation of the line that passes through the point (-6, -2) and has a
slope of 1/6

Answer 1

Step 1: Determine b by using the point (-6,-2), the given slope, and the slope intercept formula, y = mx + b.

`y = mx + b\\\\-2 = (1)/(6)(-6) + b\\\\-2 = -1 + b\\\\-1 = b`

Step 2: Now that we have b, we can determine the equation of the line.

`y = (1)/(6)x -1`

I didn't use + (-1) because b is negative. Therefore you need to change the equation from y = 1/6x + (-1) to y = 1/6x - 1.