Write an equation for this

The equation for the line is y = 3x - 10.

Solution:

Take two points on the graph of the line.

Let the points are (4, 2) and (2, -4).

Here, .

Slope of the line:

m = 3

Point-slope formula:

y - 2 = 3x - 12

Add 2 on both sides, we get

y = 3x - 10

The equation for the line is y = 3x - 10.

step-by-step explanation:

i think you should think about the question and not look online.

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'.