Question

The point $(p,9)$ lies on line $k$ shown here. What is the value of $p$?

Answer 1

(10,9) P=10

Explanation:

find the slope first: y2-y1/x2-x1=(3-1)/1-(-2)=2/3

y=2/3x+b

find b:

3=2/3(1)+b

b=3-2/3

b=7/3

now we find P

(p,9) input the y in the equation

y=2/3 x+7/3

9=2/3x+7/3

9-7/3=2/3x

x=10