Question

1. which formula is used to calculate the distance between two points on a coordinate plane?

a. distance formula
b. midpoint formula
c. pythagorean theorem
d. slope formula

Explanation:

• The midpoint formula finds the middle point between two coordinates, not distance.
• The Pythagorean theorem is the basis for the distance formula but is not the direct formula for coordinate plane distance between two points.
• The slope formula calculates the steepness of a line between two points, not distance.
• The distance formula is explicitly designed to compute the distance between two points \((x_1,y_1)\) and \((x_2,y_2)\) on a coordinate plane, given by \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\).

Answer:

a. Distance formula