Question

Write two equations Foote the line passing through the given pair of points (2, 7) and (4, 9)

Answer 1

`\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{9}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{9-7}{4-2}\implies \cfrac{2}{2}\implies 1 \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-7=1(x-2) \\\\\\ y-7=x-2\implies \blacktriangleright y = x + 5 \blacktriangleleft`