Question

line ab passes through points a(-6, 6) and b(12, 3). if the equation of the line is written in slope - intercept form, y = mx + b, then m = -\frac{1}{6}. what is the value of b?\
\bigcirc -6\
\bigcirc -5\
\bigcirc 5\
\bigcirc 6

Explanation:

Step1: Substitute point A into equation

Substitute $x=-6$, $y=6$, $m=-\frac{1}{6}$ into $y=mx+b$:
$$6 = -\frac{1}{6}(-6) + b$$

Step2: Simplify the right-hand side

Calculate the product term:
$$6 = 1 + b$$

Step3: Solve for b

Subtract 1 from both sides:
$$b = 6 - 1$$

Answer:

5