Question

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

Answer 1

Answer:

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

$y = mx + b\\\\-2 = \frac{1}{6}(-6) + b\\\\-2 = -1 + b\\\\-1 = b$

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

$y = \frac{1}{6}x -1$

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.