brownd643
brownd643 brownd643
  • 07-06-2019
  • Mathematics
contestada

Given the equation 10x + 20y + 40 = 0, Find it’s gradient and intercept

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jimrgrant1 jimrgrant1
  • 07-06-2019

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange the given equation into this form

10x + 20y + 40 = 0 ( divide all terms by 10 to simplify )

x + 2y + 4 = 0 ( subtract x + 4 from both sides )

2y = - x - 4 ( divide all terms by 2 )

y = - [tex]\frac{1}{2}[/tex] x - 2 ← in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex] and y- intercept c = - 2

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