. The following chart shows the number of concert tickets sold and the profit earned. Find the slope of the line through these pointsTickets Sold Profit (dollars)50 100100 250150 400200 550

Answer:[tex]y=3x-50[/tex]Step-by-step explanation:You are given the table[tex]\begin{array}{cc}\text{Tickets Sold}&\text{Profit}\\ \\50&100\\100&250\\150&400\\200&550\end{array}[/tex]The linear equation of the line passing through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]Choose two points, for example, [tex](50,100)[/tex] and [tex](100,250)[/tex] and use the equation above:[tex]y-100=\dfrac{250-100}{100-50}(x-50)\\ \\y-100=\dfrac{150}{50}(x-50)\\ \\y-100=3(x-50)\\ \\y-100=3x-150\\ \\y=3x-50[/tex]Check two remaining points:[tex](150,400): \ \ 3\cdot 150-50=450-50=400\\ \\(200,550):\ \ 3\cdot 200-50=600-50=550[/tex]