Question

Need help please

Find the slope of the given points and then rewrite an equation in point- slope form using the first given order pair.
(-4, 6) and (-2, 5)

A. Slope_____
B. Equation_____

Answer 1

`\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{5}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-6}{-2-(-4)}\implies \cfrac{-1}{-2+4}\implies -\cfrac{1}{2} \\\\\\ \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-6=-\cfrac{1}{2}[x-(-4)]\implies y-6=-\cfrac{1}{2}(x+4)`