How do you find the distance between the points ( -4 , 5 ) and ( 3 , - 1 )?

1 Answer
Jim G.
Apr 29, 2018

sqrt85~~9.22" to 2 dec. places"√85≈9.22 to 2 dec. places

Explanation:

"calculate the distance using the "color(blue)"distance formula"calculate the distance using the distance formula

•color(white)(x)d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)∙xd=√(x2−x1)2+(y2−y1)2

"let "(x_1,y_1)=(-4,5)" and "(x_2,y_2)=(3,-1)let (x1,y1)=(−4,5) and (x2,y2)=(3,−1)

d=sqrt((3-(-4))^2+(-1-5)^2)d=√(3−(−4))2+(−1−5)2

color(white)(d)=sqrt(7^2+(-6)^2)=sqrt(49+36)=sqrt85~~9.22d=√72+(−6)2=√49+36=√85≈9.22

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