Calculate to represent the function whose graph is a line that passes through the points (1,2) and (−3,4). What is your slope?

Answer: Slope: $$ \frac{4-2}{-3-1}=\frac{2}{-4}=-\frac{1}{2} $$ Let equation of the line is $$ y=\frac{-1}{2}x+c $$ It passes through the point (1,2) so,$$ 2=-\frac{1}{2}\times1+c $$ Or,$$ c=\frac{5}{2} $$ Equation of the line is $$ y=-\frac{1}{2}x+\frac{5}{2} $$