00:01
Being asked to use point slope form to write the equation of a line that goes through the point 0 -0 -8 and is perpendicular to the line 2x minus y equals 5.
00:09
Well, remember, point -slope form is y -minus y -sub 1 equals m times x minus x -1.
00:16
So in order to use point -slope form, we need a point on our line, which we have 0 -9 -8, so 0 will be x -1, and negative 8, but we need m, which is the slope.
00:28
But we get our slope knowing that our line is perpendicular to the given line.
00:33
Because perpendicular lines have slopes that are opposite reciprocals.
00:37
So we need to first find the slope of that line.
00:39
So i'm going to solve this equation for y to get it in slope intercept form.
00:43
So we'll begin by subtracting 2x.
00:47
So that will leave us when negative y is equal to negative 2x plus 5.
00:51
So to solve for y, we're going to divide each term by negative 1.
00:56
So we'll have y equals 2x minus 5.
01:00
So now we know the slope of the given line is 2...
