Question

What is the distance from P to Q ?A. 7 unitsB. 5 unitsC. 1 unitD. 25 unitshow do I find the distance from P to Q?

Answer 1

to find the distance between 2 points we should apply the formula

$d=\sqrt[]{(x_2-x_1)^2+(y_2-_{}y_1)^2_{}}$

call point q as point 1 for reference in the formula and p as point 2

replace the coordinates in the formula

$d=\sqrt[]{(3-(-1))^2+(-4-(-1))^2}$

simplify the equation

$\begin{gathered} d=\sqrt[]{(3+1)^2+(-4+1)^2} \\ d=\sqrt[]{4^2+(-3)^2} \\ d=\sqrt[]{16+9} \\ d=\sqrt[]{25} \\ d=5 \end{gathered}$

the distance between the 2 points is 5 units