Find the slope, distance and midpoint between
the two points (7, 14) and (4, 2). Round to the
nearest tenth.

Respuesta :

Answer:

Slope- 4

Distance- 12.4

Midpoint- (6,8)

Step-by-step explanation:

Slope- [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{2-14}{4-7} =\frac{-12}{-3}=4[/tex]

Distance- [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

[tex]d = \sqrt{(4 - 7)^2 + (2-14)^2}[/tex]

[tex]d = \sqrt{-3^2 + -12^2}[/tex][tex]d = \sqrt{144+9}=\sqrt{153}[/tex]

[tex]\sqrt{153} = 12.4[/tex]

Midpoint- [tex]\frac{x1+x2}{2} ,\frac{y1+y2}{2}[/tex]

[tex]\frac{7+4}{2} =\frac{12}{2} = 6=x[/tex]

[tex]\frac{14+2}{2} = \frac{16}{2} = 8 = y[/tex]

(6,8)