What equation passes through the points (0,6) and (6,2)

First find the slope using the formula

m = (Y2 - y1)/(x2 - x1)

(x1, y1) = (0,6)

(x2, y2) = (2,10)

m = (10-6)/(2-0)

m = 4/2

m = 2

Now we need the y-intercept or b

y = mx + b

y = 2x + b  

Use one of the coordinates for x and y. It doesn't matter which you choose

6 = 2(0) + b

6 = 0 + b

6 = b

Now let's put it together for the equation :

y = 2x + 6

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.