Question

a line passes through the point (-1,-7) and has a slope of 6 write an equation in slope intercept form for this line.

Answer 1

$\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-7})~\hspace{10em} slope = m\implies 6 \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-7)=6[x-(-1)] \\\\\\ y+7=6(x+1)\implies y+7=6x+6\implies y=6x-1$