Question

Complete the equation of the line through (-10,3) and (-8,-8)

Use exact numbers.
y=mx+b format
thank you (:

Answer 1

`\bf (\stackrel{x_1}{-10}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{-8}) \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-8-3}{-8-(-10)}\implies \cfrac{-8-3}{-8+10}\implies \cfrac{-11}{2} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-3=-\cfrac{11}{2}[x-(-10)] \\\\\\ y-3=-\cfrac{11}{2}(x+10)\implies y-3=-\cfrac{11}{2}x-55\implies y=-\cfrac{11}{2}x-52`

Answer 2

opps sorry its corrct but it is y= -11/2x - 52