Answer:
Option A) [tex]6x + 2y = -9[/tex]
Step-by-step explanation:
We are given the following information in the question:
x-intercept = [tex](\frac{-3}{2},0)[/tex]
y-intercept = [tex](0,\frac{-9}{2})[/tex]
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)
[tex]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})[/tex]
Hece, option A) is the correct required line.
