Question

what is the slope line through(-9,6)and(-6,-9)

Answer 1

Answer:

$\huge{ \boxed{5}}$

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}$

where

(x1 , y1) and (x2 , y2) are the points

From the question we have

$m = \frac{ - 9 - 6}{ - 6 - - 9} = - \frac{15}{ - 6 + 9 } = - \frac{15}{3} = - 5$

We have the final answer as

5

Hope this helps you

Answer 2

Answer:

Solution :

Here's the required formula to find slope line :

$\longrightarrow{\underline{\boxed{\sf{\purple{m = \dfrac{y_2 - y_1}{x_2 - x_1}}}}}}$

Here, we have provided :

$\begin{gathered} \footnotesize\rm {\underline{\underline{Where}}}\begin{cases}& \sf y_2 = - 9 \\& \sf y_1 = 6 \\ & \sf x_2 = - 6\\ & \sf x_1 = - 9\end{cases} \end{gathered}$

✇ Substituting the values in the formula to find slope line :

$\begin{gathered} \qquad{\longrightarrow{\pmb{\sf{m = \dfrac{y_2 - y_1}{x_2 - x_1}}}}}\\ \\ \qquad{\longrightarrow{\sf{m = \dfrac{( - 9) - (6)}{ (- 6) - ( - 9)}}}} \\ \\ \qquad{\longrightarrow{\sf{m = \dfrac{ - 15}{ (- 6) + 9}}}} \\ \\ \qquad{\longrightarrow{\sf{m = \dfrac{ - 15}{ 3}}}}\\ \\ \qquad{\longrightarrow{\sf{m = \cancel{\dfrac{ - 15}{3}}}}} \\ \\ \qquad{\longrightarrow{\sf{m = - 5}}} \\\\ \quad\quad{\star{\underline{\boxed{\frak{\pink{m = - 5}}}}}}\end{gathered}$

Hence, the slope line is -5.

$\rule{300}{1.5}$