Question

Which line has the following intercepts?

Answer 1

Answer: C

Step-by-step 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

Answer:

Option A) $6x + 2y = -9$  

Step-by-step explanation:

We are given the following information in the question:

x-intercept = $(\frac{-3}{2},0)$

y-intercept = $(0,\frac{-9}{2})$

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)

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

Hece, option A) is the correct required line.