Question

A line having a slope of 3/4 passes through the point (-8,4). Write the equation of this line in slope-intercept form.

Answer 1

$General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\ a-slope\ \ \ a=\frac{3}{4}\\\\ y=\frac{3}{4}x+b\\\\Substitude\ point\ (-8,4)\\\\ 4=\frac{3}{4}*(-8)+b\\\\ 4=-\frac{24}{4}+b\ \ \ |Add\ -\frac{24}{4}\\\\ 4+\frac{24}{4}=b\\\\ b=4+6=b\\\\ b=10\\\\ \textbf{Formula\ for\ line:}y=\frac{3}{4}x+10$