Question

Line l contains points (2,4). Point P has coordinates (1,1). Find the distance from P to l

Answer 1

d =3√2

Explanation:

`(2,4)=(x_1,y_1)\\(5,1,)=(x_2,y_2)\\\\d=√(\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2)\\\\d==√(\left(5-2\right)^2+\left(1-4\right)^2)\\\\d=√(3^2+3^2)\\\\d=√(3^2*\:2)\\\\d=√(2)√(3^2)\\\\\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0\\\\√(3^2)=3\\d =3√(2)\\`