Equatin of a line in slope intercept form is y = mx + c; where m = (y2 - y1)/(x2 - x1) = (14 - 2)/(10 - 0) = 12/10 = 6/5
Equation of a line is obtained by (y - y1) = m(x - x1)
(y - 2) = 6/5(x - 0)
y - 2 = 6/5x
y = 6/5x + 2
Answer: integer
-64² = -4096. an integer is a number that can be written without a fraction, in this case, -64² doesn't require one
Answer: choice B
Explanation: Go through each answer choice and try the Pythagorean theorem to see if it works. This is because a right triangle’s side lengths are described by the Pythagorean theorem. one side^2 + second side^2 = longest side^2. In a right triangle, this equation will be true. Let me show you what I mean
For answer choice A:
(root 2)^2 + (root 3)^2 = (root 4)^2
2 + 3 = 4
5 = 4
5 does not equal 4. Therefore it cannot be A.
For answer choice B:
(root 8)^2 + (3)^2 = (root 17)^2
8 + 9 = 17
17 = 17
this is true! therefore this is a right triangle and it’s B
Basically expand
use FOIL (a way to remember distributive property)
first outer inner last
that is th eorder to multiply them
First: x times 2x=2x²
Outer: x tmes 9=9x
Inner: -8 times 2=-16x
last: -8 times 9=-72
add them
2x²+9x-16x-72
2x²-7x-72