Answer:
Please see the attachment.
Option (1) is correct.
Step-by-step explanation:
Consider the given equation, 3y -5x ≥ -6
We have to choose the graph from the given option,
We first find the coordinate where the given equation touches x and y axis.
First consider for x axis,
we know at x-axis y coordinate is zero.
Substitute y = 0 in the given equation , we have,
3y -5x ≥ -6 ⇒ 3(0) -5x ≥ -6 ⇒ -5x ≥ -6 ⇒ 5x ≤ 6 ⇒ x ≤ 1.2
(x,0) = (1.2, 0)
Now, consider for y axis,
we know at y-axis x coordinate is zero.
Substitute x = 0 in the given equation , we have,
3y -5x ≥ -6 ⇒ 3y -5(0) ≥ -6 ⇒ 3y ≥ -6 ⇒ y ≥ -2
(0,y) = (0, -2)
Now plot according to given coordinate we get the below graph,
Thus, Option (1) is correct.
