Question

What is the distance between ( -4, 7 ) and ( -3, 2 )

Answer 1

Use the Distance Formula

Answer 2

We're given two points : (-4,7) and (-3,2). To find the distance, we will use the formula :

`\star\quad\sf{d=√((x_2-x_1)^2+(y_2-y_1)^2)}`

where the distance is d.

If we now proceed to put in our values ,

`\star\quad\sf{d=√((2-7)^2+(-3-(-4)^2)}`

and evaluate ...

`\star\quad\sf{d=√(-5^2+(-3+4)^2)}`

`\star\quad\sf{d=√(25+1^2)}`

`\star\quad\sf{d=√(25+1)}`

`\star\quad\sf{d=√(26)}`

∴ the distance between the two points is √26.