Question

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

Answer 1

see explanation

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 = -
`(1)/(2)` x - 2 ← in slope- intercept form

with slope m = -
`(1)/(2)` and y- intercept c = - 2