Question

ASAP!!!!!! SHOW WORK!!!! Thank you

Answer 1

Slopes must be equal

slope of RS

• m=4-8/1+1
• m=-4/2
• m=-2

Now

Slope of ST=-2

• y-4/6-1=-2
• y-4/5=-2
• y-4=-10
• y=-10+4
• y=-6

Answer 2

• y = -6

Explanation:

If the three points are collinear, the slopes of RS and ST are same:

• m(RS) = (4 - 8)/(1 + 1) = -4/2 = -2
• m(ST) = (y - 4)/(6 - 1) = (y - 4)/5

Since the sloes are equal we have the following equation:

• (y - 4)/5 = -2
• y - 4 = -10
• y = -10 + 4
• y = -6