Question

Write the equation of the line that contains the given point and has the given slope. (–1, 4), slope is –3

Answer 1

$\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})~\hspace{10em}slope = m\implies -3\\\\\\ \begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-4=-3[x-(-1)]\\\\\\y-4=-3(x+1)\implies y-4=-3x-3\implies y=-3x+1$

Answer 2

Y = -3x + 4. This is because the y value is -4 so that would be the y intercept and -3 is the slope as said in the question