Respuesta :

The shortcut to find their slopes is [tex]m = -\frac{A}{B}[/tex]

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The equation of a line, in slope-intercept formula, is given by:

[tex]y = mx + b[/tex]

In which m is the slope.

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In standard formula, it is:

[tex]Ax + By + C = 0[/tex]

Converting the general equation to slope-intercept, we find the shortcut.

[tex]By = -Ax - C[/tex]

[tex]y = -\frac{A}{B}x - \frac{C}{B}[/tex]

The slope is [tex]m = -\frac{A}{B}[/tex], thus, this is the shortcut.

A similar problem is given at https://brainly.com/question/24750762