Write the equation of the line in fully simplified slope-intercept form. (6, 10) (4,5) (-2,-10)

the equation will be  y = 5/2x -5

Step-by-step explanation:

First find the slope of the line by finding the change in the y coordinates and diving it by the change in the x coordinates.

(6,10)

(4,5)  

5 - 10 = -5

4 - 6 =  -2

Slope: 5/2

(4,5)

(-2,-10)

-10 - 5 = - 15

-2-4= - 6

-15/-6 = 5/2

Now we know the slope is 2, so use the formula y=mx + b to solve for the y intercept which is b by using one of the given points.

y = mx + b

5 = 5/2(4) + b

5 = 10 + b

b =   -5

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)