adylbekisaac adylbekisaac
  • 03-05-2020
  • Mathematics
contestada

The line 5y−6x−10=0 is given.What are the x- and y-intercepts of the graph of this equation?

Respuesta :

igoroleshko156
igoroleshko156 igoroleshko156
  • 03-05-2020

Step-by-step explanation:

Step 1:  Find the x-intercepts

To find the x-ints, you need to set y equal to 0

[tex]5(0) - 6x - 10 = 0[/tex]

[tex]-6x - 10 + 10 = 0 + 10[/tex]

[tex]-6x = 10[/tex]

[tex]-6x / -6 = 10 / -6[/tex]

[tex]x = -5/3[/tex]

Step 2:  Find the y-intercepts

To find the y-ints, you need to set x equal to 0

[tex]5y - 6(0)-10=0[/tex]

[tex]5y - 10 + 10 = 0 + 10[/tex]

[tex]5y / 5 = 10 / 5[/tex]

[tex]y=2[/tex]

Answer:  The x-int is (-5/3, 0) and the y-int is (0, 2)

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