Question

Write the slope-intercept form of the equation of the line through thr given point with the given slope.

Answer 1

$\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad \qquad \qquad slope = m\implies -\cfrac{1}{3} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-0=-\cfrac{1}{3}[x-(-4)] \\\\\\ y=-\cfrac{1}{3}(x+4)\implies y=-\cfrac{1}{3}x-\cfrac{4}{3}$