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1,what is the slope in a linear inequality
[tex]2x - 3y < 6 = [/tex]


Sagot :

Answer:

Step-by-step explanation:

Linear Equation

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

(m = slope, b = y-intercept)

We should form the linear inequality into y = mx+b form.

[tex] 2x-3y < 6 [/tex]

[tex] -3y < 6-2x [/tex]

[tex] y < \frac{6}{-3} - \frac{2}{-3}x [/tex]

[tex] y < -2 + \frac{2}{3}x [/tex]

[tex] y < \frac{2}{3}x -2 [/tex]

We can see that m = ⅔.

Therefore, the slope is ⅔.

✍ LINEAR EQUATION

==========================================

  • 2x – 3y < 6
  • –3y < 6 – 2x
  • y < 6/–3 – 2/–3 x
  • y < –2 + 2/3 x
  • y < 2/3 x – 2
  • 2/3

Therefore, the answer is 2/3

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