Question

Find the slope of the line(Question in photo sorry) (Pre algebra)

Answer 1

Given that

There are two points and we have to find the slope of the line passing through these points.

Explanation -

The given two points are (19/2, -8/3) and (-7/2, -1/15)

The general formula to find the slope through two points is given as

`\begin{gathered} If\text{ points are \lparen x}_1,y_1)\text{ and \lparen y}_1,y_2) \\ Then \\ slope=m=(y_2-y_1)/(x_2-x_1) \end{gathered}`

So on substituting the values we have

`\begin{gathered} Slope=m=(-(1)/(15)-(-(8)/(3)))/(-(7)/(2)-(19)/(2))=(-(1)/(15)+(8)/(3))/(-(7)/(2)-(19)/(2)) \\ \\ m=((-1*1+5*8)/(15))/((-7-19)/(2))=((-1+40)/(15))/((-26)/(2))=((39)/(15))/(-(13)/(1)) \\ \\ m=(39)/(15)*(-1)/(13)=-(3)/(15)=-(1)/(5) \end{gathered}`

So the required slope passing through the given two points is -1/5.

Final answer -

Therefore the final answer is -1/5.