Question

# Determine the slope of the line represented by the linear equation 5x+6y=40 1.5 2.6 3.\frac{5}{6} 4.\frac{-5}{6}

Equations
Determine the slope of the line represented by the linear equation 5x+6y=40
1.5
2.6
3.$$\displaystyle{\frac{{{5}}}{{{6}}}}$$
4.$$\displaystyle{\frac{{-{5}}}{{{6}}}}$$

2021-05-08
Given the equation of line
5x+6y=40
We need to find slope of this line .
As we know that the slope of a line
ax + by + c = 0 is written by
$$\displaystyle{m}=-{\left({\frac{{{a}}}{{{b}}}}\right)}$$
Therefore by using above formula slope of given equation is
$$\displaystyle{m}=-{\left({\frac{{{5}}}{{{6}}}}\right)}$$
$$\displaystyle{m}=-{\frac{{{5}}}{{{6}}}}$$