Answer: The answer is (A)[tex]\dfrac{4}{3}.[/tex] and (C)[tex]4x-3y=0.[/tex]
Step-by-step explanation: We are given a graph with a point A having co-ordinates (3, 4) and origin O(0, 0). We are to find the slope and equation of line OA.
Since O(0, 0) and A(3, 4) are two points on the line OA, so its slope will be
[tex]m=\dfrac{4-0}{3-0}=\dfrac{4}{3}.[/tex]
And the equation of the line will be
[tex]y-0=\dfrac{4}{3}(x-0)\\\\\\\Rightarrow y=\dfrac{4}{3}x\\\\\\\Rightarrow 3y=4x\\\\\Rightarrow 4x-3y=0.[/tex]
Thus, the correct options are (A) and (C).
