Question

What is the equation in point-slope form of the line that passes through the point (1, −2)and has a slope of 3?

Responses

y+1=3(x−2)


y+2=3(x−1)


y−1=3(x+2)


y−2=3(x+1)

Answer 1

`(\stackrel{x_1}{1}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ 3 \\\\\\ \begin{array}c \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}{(-2)}=\stackrel{m}{ 3}(x-\stackrel{x_1}{1}) \implies {\large \begin{array}{llll} y +2 = 3 ( x -1) \end{array}}`