Answer:
The distance between two points ( -1,1) and (2,-4) is:
[tex]d=\sqrt{34}[/tex] or d = 5.8 units.
Step-by-step explanation:
Given the points
Finding the distance between (-1, 1) and (2, -4) using the formula
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
substitute (x₁, y₁) = (-1, 1) and (x₂, y₂) = (2, -4)
[tex]=\sqrt{\left(2-\left(-1\right)\right)^2+\left(-4-1\right)^2}[/tex]
[tex]=\sqrt{\left(2+1\right)^2+\left(-4-1\right)^2}[/tex]
[tex]=\sqrt{3^2+5^2}[/tex]
[tex]=\sqrt{9+25}[/tex]
[tex]=\sqrt{34}[/tex] units
or
[tex]d = 5.8[/tex] units
Therefore, the distance between two points ( -1,1) and (2,-4) is:
[tex]d=\sqrt{34}[/tex] or d = 5.8 units.
