Question

Write the equation of the line that passes through (7,- 4) and (-1, -2) in slope-intercept form.

O y = -x-2
○ y = - 4x-6
O y = -x-1
Oy=x-1

Answer 1

`(\stackrel{x_1}{7}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{7}}} \implies \cfrac{-2 +4}{-1 -7} \implies \cfrac{ 2 }{ -8 }\implies -\cfrac{1}{4}`

`\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}{(-4)}=\stackrel{m}{-\cfrac{1}{4}}(x-\stackrel{x_1}{7}) \\\\\\ y+4=-\cfrac{1}{4}x+\cfrac{7}{4}\implies y=-\cfrac{1}{4}x+\cfrac{7}{4}-4\implies y=-\cfrac{1}{4}x-\cfrac{9}{4}`