Find the slope of a line that passes through points (–1, –5) and (6, 9). Question 2 options: A) 1∕2 B) –2 C) 4∕5 D) 2

Step-by-step explanation:

The slope of a line is used to describe the average rate of change. Often referred to as the (), the general formula to find the slope of a line is the following,

Where () and () are both points on the line. One is given that the following points are on the line,

Substitutes these values into the formula and solve for the slope,

Simplify, remember negative times negative equals positive,

Combine like terms,

Simplify further, remember a fraction is another way of representing division,

f

step-by-step explanation:

f

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'.