Find the slope, if it exists of the line containing the points (-4, 0) and (-5,-3)

The line containing the points (-4, 0) and (-5,-3).

The slope of the line is 3.

Given:

The line containing the points (-4, 0) and (-5,-3)

Let:

to calculate the slope m given two points

use the gradient formula

Therefore, the slope of the line is 3.

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3

Step-by-step explanation: The slope of a line can be found using this equation: y2 - y1 / x2 - x1

-3 - 0 / -5 - (-4)

= -3 / -1 or 3

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'.

42

step-by-step explanation: