Respuesta :

The slope of the line containing the points (2/3, 4) and (2, 6) is [tex]\frac{3}{2}[/tex]

Solution:

Given that we have to find the slope of the line containing the points (2/3, 4) and (2, 6)

The slope of line is given by formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here the given points are (2/3, 4) and (2, 6)

[tex](x_1, y_1) = (\frac{2}{3}, 4)\\\\(x_2, y_2) = (2, 6)[/tex]

Substituting the values we get,

[tex]m = \frac{6-4}{2-\frac{2}{3}}\\\\m = \frac{2}{\frac{6-2}{3}}\\\\On\ simplifying\ we\ get,\\\\m = 2 \times \frac{3}{4}\\\\m = \frac{3}{2}[/tex]

Thus slope of line is [tex]\frac{3}{2}[/tex]

Answer:

-7/8

Step-by-step explanation:

What is the slope of the line containing the points (–2, 3) and (6, –4)?

Negative one-fourth

Negative one-half

Negative StartFraction 7 Over 8 EndFraction

Negative StartFraction 8 Over 7 EndFraction