00:01
In this problem we have been asked to find an equation of the line which passes through the point 3 ,5 and is perpendicular to the line 4x plus 9y minus 7 is equal to 0.
00:12
So let's rewrite this line in the slope intercept form.
00:16
So we have 9y is equal to negative 4x plus 7, implying that y is equal to negative 4 over 9x plus 7 over 9.
00:25
So if we compare this to y is equal to mx plus b, m is negative 4 over 9, meaning that the slope of this line is negative 4 over 9.
00:34
So let's find the slope of the line which is perpendicular to this.
00:38
That will just be the negative reciprocal of this.
00:41
So negative 1 over negative 4 over 9, which is 9 over 4.
00:45
So the slope of our required line will be 9 over 4.
00:48
So the required line will be of the form y is equal to mx plus b.
00:54
So it's going to be like this.
00:55
And it passes through the point 3 ,5...