URGENT 3y + 2x + 5 = 0 \\ what \: is \: th e \: gradient \: and \: y \: \\ intercept ​

Question

URGENT


`3y + 2x + 5 = 0 \\ what \: is \: th e \: gradient \: and \: y \: \\ intercept`
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Answer 1

Gradient is -2/3 and y-intercept is -5/3.

Explanation:

First, you have to make y the subject by moving all the unrelated terms to the other side :

`3y + 2x + 5 = 0`

`3y = - 2x - 5`

`y = - ( 2)/(3) x - (5)/(3)`

Next, given that the slope-form equation is, y = mx+b where m is the gradient and b is the y-intercept. (*In a slope-form equation, gradient will always stick with x)

In the equation above, m is -2/3 and b is -5/3.