select the correct answer.\ntwo points located on \\overleftrightarrow{jk} are j(6,1) and k(-3,8). what is…

select the correct answer.\ntwo points located on \\overleftrightarrow{jk} are j(6,1) and k(-3,8). what is the slope of \\overleftrightarrow{jk} ?\na. \\ -\\frac{9}{7}\nb. \\ -\\frac{7}{9}\nc. \\ \\frac{7}{9}\nd. \\ \\frac{9}{7}

select the correct answer.\ntwo points located on \\overleftrightarrow{jk} are j(6,1) and k(-3,8). what is the slope of \\overleftrightarrow{jk} ?\na. \\ -\\frac{9}{7}\nb. \\ -\\frac{7}{9}\nc. \\ \\frac{7}{9}\nd. \\ \\frac{9}{7}

Answer

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$

Step2: Assign point values

Let $(x_1,y_1)=(6,1)$ and $(x_2,y_2)=(-3,8)$

Step3: Substitute into formula

$m=\frac{8-1}{-3-6}=\frac{7}{-9}=-\frac{7}{9}$

Answer:

B. $-\frac{7}{9}$