Respuesta :

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:

The slope is -6/5

Step-by-step explanation:

Given equation of the line,

[tex]5y + 6x - 2 =0[/tex]

Using additive property of equality,

[tex]5y + 6x = 2[/tex]

Using subtraction property of equality,

[tex]5y = -6x + 2[/tex]

Using division property of equality,

[tex]y =\frac{1}{5}(-6x + 2)[/tex]

Using distributive property,

[tex]y=-\frac{6}{5}x +\frac{2}{5}[/tex]

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

By comparing,

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

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