[tex]-7x+3y=15\qquad\text{add 7x to both sides}\\\\3y=7x+15\qquad\text{divide both sides by 3}\\\\y=\dfrac{7}{3}x+5\\\\\text{It is a linear function. We need only two points to plot the graph.}\\\\\text{Choice any two x values and calculate the y values.}\\\\for\ x=0\to y=\dfrac{7}{3}(0)+5=0+5=5\to(0,\ 5)\\\\for\ x=-3\to y=\dfrac{7}{3}(-3)+5=-7+5=-2\to(-3,\ -2)[/tex]
