Question

HELP AND JUSTIFY UR THINKINg!!

Answer 1

This seems tricky, but if B can equal anything except 0, can B be anything on the x plane except 0. Meaning you can pick a number that you would justify. Let's say you picked x=2, it still fits the constraints and will connect with point A. (hoped this helped!)

Answer 2

We don't know anything about the x coordinate of point B other than it cannot be zero (which is what the slash through the equal sign means). You can pick any value you want for x as long as it's not zero. So I'm going to pick x = 1. Point B is located at (x,y) = (1,-7)

Find the slope of the line through A(-5,5) and B(1,-7). Use the slope formula

m = (y2 - y1)/(x2 - x1)

m = (-7-5)/(1 - (-5))

m = (-7-5)/(1 + 5)

m = (-12)/(6)

m = -2

Use this slope value with (x,y) = (-5,5) to find the y intercept b

y = mx+b

y = -2x + b

5 = -2(-5) + b

5 = 10 + b

5-10 = 10+b-10

-5 = b

b = -5

So y = mx+b turns into y = -2x-5 which is the equation of the line through the two points A(-5,5) and B(1,7). The graph is shown below.

note: this answer will be different if you pick a different x coordinate for point B