Answer: A
Explanation:
Step 1: Use the linear graph to create an equation using slope-intercept form. The y-intercept is (0,-6) because that's where the line passes the y-axis. The slope is 1/2 and that's pretty self-explanatory if you know how to find slope. The equation would be y=1/2x-6.
Step 2: Because we are looking for a line perpendicular to the linear graph, the y-intercept and slope needs to be different. If they're perpendicular, they need to intersect, so the slope needs to be the reciprocal of the original slope, 1/2. The reciprocal is -2. Your equation would be y=-2x+b, and since we don't know the y-intercept, we would leave it as b.
Step 3: Plug in the given ordered pair, (-3,-2), to get -2=-2(-3)+b. You would result with -2=6+b. Subtract 6 to both sides and you would get b=-8.
