Question

Write an equation of a line in point-slope form that passes through (-4,-7) and has a slope of -2

Answer 1

`\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-7}) \qquad \qquad \qquad % slope = m slope = m\implies -2 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-7)=-2[x-(-4)] \\\\\\ y+7=-2(x+4)`