Question

The slope of the line that passes through the points (6,9) and (11,2) is

Answer 1

Answer:

slope = - $\frac{7}{5}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2-y_{1} } }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (6, 9) and (x₂, y₂ ) = (11, 2)

m = $\frac{2-9}{11-6}$ = $\frac{-7}{5}$ = - $\frac{7}{5}$

Answer 2

The slope of the line that passes through the points (6,9) and (11,2) is (-7/5) and this can be determined by using the point-slope form and slope-intercept form.

Given :

Line passes through the points (6,9) and (11,2).

The point-slope form can be used to determine the slope of the line that passes through the points (6,9) and (11,2).

The point-slope form of the line is given by the equation:

$\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}$    ---- (1)

where $(x_1,y_1)$ and $(x_2,y_2)$ are the points on the line.

Now, put the values of the points $(x_1,y_1)$ and $(x_2,y_2)$ in equation (1).

$\dfrac{y-9}{x-6}=\dfrac{2-9}{11-6}$

$\dfrac{y-9}{x-6}=\dfrac{-7}{5}$

$5(y-9)=(-7)(x-6)$

$5y -45=-7x+42$

$y = \dfrac{-7}{5}x+\dfrac{87}{5}$   ----- (2)

Now, the slope-intercept form is given by the equation:

y = mx + c   ---- (3)

Now, compare equation (2) and equation (3).

$m = -\dfrac{7}{5}$

The slope of the line that passes through the points (6,9) and (11,2) is (-7/5).

For more information, refer to the link given below:

https://brainly.com/question/11824567