madisontrayler177 madisontrayler177
  • 19-11-2020
  • Mathematics
contestada

find the slope of the line 3x - 8y = -20

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Ben
Ben Ben
  • 19-11-2020

[tex]\huge\boxed{\frac{3}{8}}[/tex]

To get the slope of a line from its standard form ([tex]Ax+By=C[/tex]), we can use [tex]m=-\frac{A}{B}[/tex].

[tex]\begin{aligned}m&=-\frac{A}{B}\\&=-\frac{3}{-8}&&\smash{\Big|}&&\text{Substitute in the known values.}\\&=\boxed{\frac{3}{8}}&&\smash{\Big|}&&\text{The negatives cancel out.}\end{aligned}[/tex]

Alternatively, we could have changed the equation to slope-intercept form and found the slope from there.

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