Question

A line has a slope of 6 and passes through the point

(2, 5)What is its equation in slope-intercept form?

Answer 1

`\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{5})~\hspace{10em} \stackrel{slope}{m} \implies 6 \\\\\\ \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}{5}=\stackrel{m}{6}(x-\stackrel{x_1}{2}) \\\\\\ y-5=6x-12\implies y=6x-7`

Answer 2

5 = 6(2) + b
5 = 12 + b
-7 = b
y = 6x - 7