Question

What is the slope of the line with the equation 3y+5x=4

Answer 1

I think none of these are right. It's Y=-5/3x +4/3

Answer 2

ANSWER

$- \frac{5}{3}$

EXPLANATION

The given line has equation

$3y + 5x = 4$

Rewrite the equation in the form:

$y = mx + b$

Add -5x to both sides.

$3y + 5x - 5x = - 5x + 4$

$3y = - 5x + 4$

Divide through by 3.

$y = - \frac{5}{3}x + \frac{4}{3}$

Comparing to the slope intercept formula,

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

The slope is

$- \frac{5}{3}$