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=(3)/(4)\\\\ y=(3)/(4)x+b\\\\Substitude\ point\ (-8,4)\\\\ 4=(3)/(4)*(-8)+b\\\\ 4=-(24)/(4)+b\ \ \ |Add\ -(24)/(4)\\\\ 4+(24)/(4)=b\\\\ b=4+6=b\\\\ b=10\\\\ \textbf{Formula\ for\ line:}y=(3)/(4)x+10`