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In the standard (x,y) coordinate plane, what is the
slope of the line 3x + 8y = 5?


Sagot :

Step-by-step explanation:

Turn the standard form equation into a slope-intercept form equation using algebra.

Slope-intercept form: [tex]y=mx+b[/tex]

Key:

  • m = slope
  • b = y-intercept

Subtract each side by 3x:

[tex]8y=-3x+5[/tex]

Divide each side by 8:

[tex]y=-\frac{3}{8} x+\frac{5}{8}[/tex]

-3/8 is in the position of m, the slope.

The slope is -3/8.