Answer:Answer: point (3,-4) is 3 units to the right of the origin and 4 down
Step-by-step explanation: easiest to graph
Answer:
Distance between origin and point P(3, -4) is 5 units.
Solution:
We need to find distance between origin and point P (3, -4) .
We will be using distance formula. According to the distance formula , distance d between two points [tex]\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right) \text { and }\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right)[/tex] is given by
[tex]d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}[/tex]
In given case two points are O ( 0 , 0 ) (origin) and P( 3 , -4) .
On applying distance formula
[tex]\begin{aligned} \mathrm{OP} &=\sqrt{(3-0)^{2}+((-4)-0)^{2}} \\ &=\sqrt{3^{2}+(-4)^{2}} \\ &=\sqrt{9+16} \\ &=\sqrt{25} \end{aligned}[/tex]
So OP = 5 units
Hence distance between origin and point P(3, -4) is 5 units.
