Question

write an equation for the line described. give your answer in slope intercept form. perpendicular to 3x+4y=24, through (9,8)

Answer 1

Given equation of the line is, BoL+ 4y = 24 — 0 We have to find an equation of a line which is perpendicular to the line 0 and passes through (9,8).

- Now, from o we get, 3x + 4y = 24 =1y = 24-Box - y = 6-3 - This is the slope-intercept form of the line 0.

, so the As the slope of the line o is - slope of the perpendicular. line is Let the equation of to the line 0 it, the line perpendicular y = 1 ktk - where, K is a constant Since the line @ passes through (9,8). so, we have 8= 4 x 9 +k 3) K = 8-12 7 K=-4 We Putting this value in @ - y = 1/2x - 4

i The equation of the line which is perpendicular to the line o, in blope-intereept form is. Ty= A x-1