donatello37 donatello37
  • 04-06-2021
  • Mathematics
contestada

What is the slope of a line parallel to the line whose equation is
x + 2y = 10. Fully simplify your answer.

Respuesta :

Muscardinus Muscardinus
  • 09-06-2021

Answer:

The required slope is equal to -1/2.

Step-by-step explanation:

The given equation of line is :

x + 2y = 10

A line parallel to this line has the same slope. To determine the slope, solve for  y  to change the equation to slope-intercept form:

y = mx+b .....(1)

2y = 10 -x

Dividing both sides by 2.

[tex]y=(-\dfrac{1}{2})x+10[/tex] ....(2)

Comparing equations (1) and (2),

m = -1/2

Hence, the required slope is equal to -1/2.

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