Question

What is the slope of the line whose equation is 5y + 6x - 2 = 0?

Answer 1

To find the slope you'd take the equation and rewrite it so that y is on the left of the = sign and everything else is on the right, 5y=-6x+2 then you'd divide the equation by 5 to get y=-1.2x+.4 the value is the slope so the answer is the slope is -1.2.

Answer 2

The slope is -6/5

Explanation:

Given equation of the line,

`5y + 6x - 2 =0`

Using additive property of equality,

`5y + 6x = 2`

Using subtraction property of equality,

`5y = -6x + 2`

Using division property of equality,

`y =(1)/(5)(-6x + 2)`

Using distributive property,

`y=-(6)/(5)x +(2)/(5)`

Since, the slope of a line y = mx + c is m.

By comparing,

The slope of the given line would be -6/5.