Question

The slope of the line whose equation is 5x + 3y = -2 is

-5/3
-3/5
-2/3

Answer 1

3y = - 5x - 2
y = - 5/3x - 2/3

- 5/3

Answer 2

Answer:
`(-5)/(3)`

Explanation:

The intercept form of a line in is given by:-

`y=mx+c`, where m is the slope of line and c is the y-intercept.

(1)

Given : Equation of line :
`5x + 3y = -2`

Convert above equation into slope -intercept form by subtracting 5x from both sides , we get

`3y=-5x-2`

Divide 3 on both sides , we get

`y=(1)/(3)(-5x-2)`

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

Comparing (1) and (2), we get

`m =(-5)/(3)`

Hence, the slope of the line
`=(-5)/(3)`