What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10-1210)
(0,0)
10
A. y = -6x
B. y = 6x
O C. y = x
O D. y = -5x
E. y = 4x
F. y = 5x

F

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (2, 10) ← 2 points on the line

m = = = 5 , thus

y = 5x → F

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

its the second choice.

step-by-step explanation:

the elements in the range will be 7 less than the elements in the domain.