Question

Use the information given to find the equation of the line using the point-slope formula (y-y1)=m(x-x1). Then convert your answer to slope-intercept form (y=mx+b).

(4,2) with a slope of 5

Answer 1

`(\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ 5 \\\\\\ \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}{5}(x-\stackrel{x_1}{4}) \\\\\\ y -2 = 5 x -20 \implies {\Large \begin{array}{llll} y = 5 x -18 \end{array}}`