The equation in point-slope form is y = 24.6x + 2433.8
The standard equation of a straight line in point slope form is given by:
y - y₁ = m(x - x₁)
where m is the slope of the line, y is the dependent variable, x the independent variable, (x₁, y₁) are points on the line
Let y represents the number of restaurants franchised and x represent the years after 2010
Since In 2012 (x = 2), a popular pizza franchise had 2483 restaurant, this can be represented by the point (2, 2483). Also in 2017 (x = 7), a popular pizza franchise had 2606 restaurant, this can be represented by the point (7, 2606). Therefore the equation of the line is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-2483=\frac{2606-2483}{7-2}(x-2)\\\\y-2483=24.6(x-2)\\\\y=24.6x+2433.8[/tex]
The equation in point-slope form is y = 24.6x + 2433.8
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