Question

What’s the distance between (1, 7) and (-2, -4) please help

Answer 1

Answer:

the slope is 11/3

so distance is 130 or 11.4 in decimal form

Answer 2

Answer:

Exact distance = $\sqrt{130}$

Approximate distance = 11.40175

Explanation:

We'll use the distance formula

$d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(1-(-2))^2+(7-(-4))^2}\\\\d = \sqrt{(1+2)^2+(7+4)^2}\\\\d = \sqrt{(3)^2+(11)^2}\\\\d = \sqrt{9+121}\\\\d = \sqrt{130} \ \ \text{ ... exact distance}\\\\d \approx 11.40175 \ \ \text{ ... approximate distance}$