Find the coordinates of the orthocenter of triangle abc with vertices a(0,0), b(4,0), and c(4,2) a. (4,0) b. (2,1) c. (4,2) d. (2,0)

Firstly, we need to draw graph

we can see that

this is right angled triangle

and we know that

Orthocenter is the point of intersection of the altitudes

and Each leg in a right triangle forms an altitude

So, in a right-angled triangle, the orthocenter lies at the vertex containing the right angle

Hence, point B will be orthocenter

so,

Orthocenter is (4,0)........Answer

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)

it would open into a square depending on the type of envelope i’m not sure about the second part