Write an equation for the line that passes through (8,6) and (-8,2)

y=1/4x+4

Step-by-step explanation:

1. y1-y2/x1-x2 = slope

6-2/8--8

6-2/8+8

4/16

1/4 = slope

2. y=mx+b (m=slope and b= y-intercept)

y=1/4x+b

(plug in one set of coordinates for x and y)

6=1/4(8)+b

6=2+b

6-2=b

4=b

(plug in 4 as y-intercept)

y=1/4x+4

10% of increase is the final answer! : )

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1