cb4051597 cb4051597
  • 17-10-2021
  • Mathematics
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The equation of a line is x + 4y = 15.

What is the y-intercept of the line?

a.) - 15 b.) 15 c.) 15 / 4 d.) 4 / 15

Respuesta :

JoshEast
JoshEast JoshEast
  • 17-10-2021

Answer:  c.) ¹⁵/₄

Step-by-step explanation:

If we transpose the equation into the slope-intercept form (y = mx + c), the value of c is the y-intercept.

since   x + 4y = 15

then           4y = - x + 15

∴                  y = -¹/₄ x + ¹⁵/₄

⇒ the y-intercept for the line x + 4y = 15 is ¹⁵/₄

             

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