Question

Slope = - 4/5 passing through (5,-1) in point slope form

Answer 1

Answer:
`y + 1 = -(4)/(5)(x - 5)\\`

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Work Shown:

m = -4/5 is the slope

(x1,y1) = (5,-1) is the point the line goes through

Plug those into the Point Slope form equation below. Simplify.

`y - y_1 = m(x - x_1)\\\\y - (-1) = -(4)/(5)(x - 5)\\\\y + 1 = -(4)/(5)(x - 5)\\`

Answer 2

`\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{-1})~\hspace{10em} \stackrel{slope}{m}\implies -\cfrac{4}{5} \\\\\\ \begin{array} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-\cfrac{4}{5}}(x-\stackrel{x_1}{5})\implies y+1=-\cfrac{4}{5}(x-5)`