Question

Find the slope, distance and midpoint between

Answer 1

Answer:

Slope- 4

Distance- 12.4

Midpoint- (6,8)

Step-by-step explanation:

Slope- $\frac{y2-y1}{x2-x1}$

$\frac{2-14}{4-7} =\frac{-12}{-3}=4$

Distance- $d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}$

$d = \sqrt{(4 - 7)^2 + (2-14)^2}$

$d = \sqrt{-3^2 + -12^2}$$d = \sqrt{144+9}=\sqrt{153}$

$\sqrt{153} = 12.4$

Midpoint- $\frac{x1+x2}{2} ,\frac{y1+y2}{2}$

$\frac{7+4}{2} =\frac{12}{2} = 6=x$

$\frac{14+2}{2} = \frac{16}{2} = 8 = y$

(6,8)