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postnew [5]
3 years ago
7

What are the intercepts of the graph of the equation 6 x − 1 . 5 y = 18?

Mathematics
1 answer:
WITCHER [35]3 years ago
3 0

For this case we have the following equation:

6x-1.5y = 18

We find the intersections with the axes:

  • Intersection with the x axis:

Makingy = 0 we have:

6x-1.5 (0) = 18\\6x = 18\\x = \frac {18} {6}\\x = 3

Thus, the intersection with the x-axis is:(3,0)

  • Intersection with the y axis:

Making x = 0 we have:

6 (0) -1.5y = 18\\-1.5y = 18\\y = \frac {18} {- 1.5}\\y = -12

Thus, the intersection with the y-axis is(0, -12)

Answer:

The intersection with the x axis is: (3,0)

The intersection with the y axis is: (0, -12)

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