Question

1. The formula for the distance d from $P_1=(x_1,y_1)to{P}_2=(x_2,y_2)$is d = _____.

Short answer

The formula for the distance d from$P_1=(x_1,y_1)to{P}_2=(x_2,y_2)$is,$d=\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}$

Step-by-step solution

Step 1. Given information.

We have given two points $P_1=(x_1,y_1)and{P}_2=(x_2,y_2)$.

Step 2. Concept.

Distance between two points is the length of the line segment that connects the two given points.

Step 3. Explanation.

Distance between the points, $P_1=(x_1,y_1)and{P}_2=(x_2,y_2)$is,

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

Step 4. Conclusion

Hence, distance from the points$P_1=(x_1,y_1)to{P}_2=(x_2,y_2)$ is,$d=\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}$