Question

Which line has the following intercepts?

Answer 1

Answer: C

Explanation:

Plug the x intercept in the x variable spot and the y intercept in the y variable spot

Solve for every equation

Then solve for answer

Answer 2

Option A)
`6x + 2y = -9`

Explanation:

We are given the following information in the question:

x-intercept =
`((-3)/(2),0)`

y-intercept =
`(0,(-9)/(2))`

x-intercept is the value when y = 0 and the curve passes through the x-axis and y-intercept is the value when x = 0 and the curve passes through the y-axis.

Option A)

`6x + 2y = -9\\\text{Putting y = 0}\\6x = -9\\x = \displaystyle(-9)/(6) = (-3)/(2)\\\Rightarrow \text{x-intercept} = (-(3)/(2),0)\\\text{Putting x = 0}\\2y = -9\\y = \displaystyle(-9)/(2)\\\Rightarrow \text{y-intercept} = (0,-(9)/(2))`

Hece, option A) is the correct required line.