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:  $\dfrac{-5}{3}$

Step-by-step 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

$y=\dfrac{1}{3}(-5x-2)$

$y=\dfrac{-5}{3}x-\dfrac{-2}{3}$    (2)

Comparing (1) and (2), we get

$m =\dfrac{-5}{3}$

Hence, the slope of the line $=\dfrac{-5}{3}$