Respuesta :

Answer:

slope = - [tex]\frac{8}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 3) and (x₂, y₂ ) = (2, 11)

m = [tex]\frac{11-3}{2-9}[/tex] = [tex]\frac{8}{-7}[/tex] = - [tex]\frac{8}{7}[/tex]

Answer:

[tex]\boxed {m = -\frac{8}{7}}[/tex]

Step-by-step explanation:

Use the Slope Formula to help you determine the slope of two given points:

[tex]m =\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

First point: [tex](x_{1}, y_{1})[/tex]

Second point: [tex](x_{2}, y_{2})[/tex]

-Apply the two given points onto the formula:

First point: [tex](9, 3)[/tex]

Second point: [tex](2, 11)[/tex]

[tex]m =\frac{11 - 3}{2 - 9}[/tex]

-Solve for the slope:

[tex]m =\frac{11 - 3}{2 - 9}[/tex]

[tex]m =\frac{8}{-7}[/tex]

[tex]\boxed {m = -\frac{8}{7}}[/tex]

Therefore, the slope is [tex]-\frac{8}{7}[/tex].