What is the equation in Slope intercept form that is perpendicular to x - 4y = 8 that goes through (1,1)

Answer 1

The line you are given can be rewritten as y=(1/4)x-2. The line we are looking for will have equation y=Ax+B where we have to identify the constants A, B. Since we want the two lines to be perpendicular we must have that (1/4)A=-1 which implies that A=-4. Finally, since we need our line to pass through the point (1,1) we have that 1=-4+B or equivalently, B=5. So we obtain the equation y=-4x+5.