Write an equation for the line that contains the points (-5,50) and (-15,0).

y=5

Step-by-step explanation:

The equation of a line can be written as y − y 0 = m ⋅ ( x − x 0 ) where ( x 0 , y 0 ) is any point that lies on the line. The gradient, m , of the line can be found using any two non-identical points that lie on the line. m = y 2 − y 1 x 2 − x 1 = 5 − 5 − 3 − 0 = 0 A gradient of zero indicates that the line is horizontal. The equation of the line can thus be simplified to y = y 0 In this case, both points have a y coordinate of 5. The equation of this line is therefore y = 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'.

x = 23.78

step-by-step explanation: