Question

write an equation in slope intercept form that represents ,Mr.Carson earns 880$ for 40hours of work and 1210 for 50 hours of work within the same month

Answer 1

`\bf \begin{array}ll \cline{1-2} \stackrel{hours}{x}&\stackrel{\$}{y}\\ \cline{1-2} 40&880\\ 50&1210\\ \cline{1-2} \end{array}~\hspace{7em} (\stackrel{x_1}{40}~,~\stackrel{y_1}{880})\qquad (\stackrel{x_2}{50}~,~\stackrel{y_2}{1210}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1210-880}{50-40}\implies \cfrac{330}{10}\implies 33`

`\bf \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-880=33(x-40) \\\\\\ y-880=33x-1320\implies y=33x+2200`