Write an equation in point-slope form of the line that passes through (3, -8) and (7,-2).

A line that passes through (3, -8) and (7,-2).

Denote equation of that line: y = ax + b

=> Slope a can be directly determined by:

a = (7 - 3)/(-2 - -8) = 4/6 = 2/3

=> y = (2/3)x + b

This line passes (3, -8), then: -8 = (2/3)*3 + b => -8 = 2 + b => b = -10

=> y =(2/3)x - 10

There are other ways to find equation of line.

Hope this helps!

:)

Step-by-step explanation:

y=3/2x+c

-8-3/2=c

c=10

Therefore, the probability is P=0.0084.

Step-by-step explanation:

We know that  a multiple-choice test in which each question has 4 choices only one of which is correct. Assume that 9 questions are answered by guessing randomly.

Because we have 4 choices only one of which is correct, we get that p=0.25 and q=0.75.

We calculate  the probability of getting exactly 6 correct answers.

n=9 and k=6.

Therefore, the probability is P=0.0084.