Question

Which equation is in standard form and represents a line with the slope -1 through the point (-3,5)

Answer 1

$\bf \begin{array}{ccccccccc} &&x_1&&y_1\\ % (a,b) &&(~ -3 &,& 5~) \end{array} \\\\\\ % slope = m slope = m\implies -1 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-5=-1[x-(-3)] \\\\\\ y-5=-1(x+3)\implies y-5=-x-3 \\\\\\ x+y=5-3\implies \stackrel{standard~form}{x+y=2}$