A line contains the points (2,4) and (−6,−2). Which equation represents the line?

a. y+2=4/3(x+6)

b. y−2=3/4(x−6)

c. y−2=4/3(x−4)

d. y−4=3/4(x−2)

D) y-4=3/4(x-2)

Step-by-step explanation:

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

m=(-2-4)/(-6-2)

m=-6/-8

simplify

m=3/4

y-y1=m(x-x1)

y-4=3/4(x-2)

To solve this problem, we must use the pythagorean theorem. 12 is the hypotenuse or c and 5 is b.

a^2 + (5)^2 = (12)^2. Square the appropriate numbers.

a^2 + 25 = 144. Subtract 25 from each side.

a^2 = 119. Take the square root of each side.

a = √(119). This is only half the value of x. Multiply √(119) by 2

Your answer should be 21.8