Line AB contains points A(4, 5) and B(9, 7). What is the slope of ? –negative StartFraction 5 Over 2 EndFraction –negative StartFraction 2 Over 5 EndFraction StartFraction 2 Over 5 EndFraction StartFraction 5 Over 2 EndFraction

Respuesta :

Answer:

The answer to your question is: m = 2/5

Step-by-step explanation:

Data

A (4,5)

B (9,7)

Formula

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

[tex]m = \frac{7 - 5}{9 - 4}\\[/tex]

[tex]m = \frac{2}{5}[/tex]

Answer: [tex]\dfrac{2}{5}[/tex]

Step-by-step explanation:

We know that the slope of a line passing through points (a,b) and (c,d) is given by :-

[tex]m=\dfrac{d-b}{c-a}[/tex]

Given : Line AB contains points A(4, 5) and B(9, 7).

Then, the slope of Line A will be :-

[tex]m=\dfrac{7-5}{9-4}=\dfrac{2}{5}[/tex]

Hence, the slope of line AB = [tex]\dfrac{2}{5}[/tex]