Question

Write an equation of a line that passes through (-9,3) and is perpendicular to y+3x=-17

Answer 1

y+3x=-17
can you identify the slope of this given line ?

Answer 2

any ideas ?

Answer 3

the slope of that one is -3 so for the perpendicular line it has to be 1/3

Answer 4

good!

Answer 5

so equation of perpendicular line would be :-
\[\large \bf y-y_1=\frac{1}{3}(x-x_1)\]
where,\(\large \bf (x_1,y_1)\) is point through which perpendicular line would pass

Answer 6

can you tell me what is (x1,y1) ?

Answer 7

Look at the points (-9,3) Consider which is x and which is y and voila you will have X1 and y1!