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

Mathematics

1 answer:

jonny [76]4 years ago

8 0

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 = - $\frac{1}{2}$ x - 2 ← in slope- intercept form

with slope m = - $\frac{1}{2}$ and y- intercept c = - 2

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