Find the equation of the line in the picture (if you go full screen on the image it is easier to see)

y= ?
x+ ?

y=x-5

Step-by-step explanation:

the equation of a line is in y=mx+b form

m is the slope, which in this case is one so you dont need to put a 1 in front of the x

b is the y-intercept, or where the line crosses the y-axis. in this case, it is -5

y=x-5

Step-by-step explanation:

y=mx+c

in this case    y=___x+

c is the y-intercept

the y intercept is -5

y=___x+-5     which is       y=___x-5

m is the gradient

you find the gradient by (The difference in height  ÷ The difference in width)

the difference in height is 1

the difference in width is 1

1/1=1

y=1x-5 which is the same as y=x-5

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'.