00:03
We're given a point and a line.
00:07
In part a, we're asked to write the equation of the line parallel to this line and through the given point.
00:15
So the line we're given is x plus y equals 7, and the point is negative 3, 2.
00:25
So to find the equation of the new line, let's find the slope of the new line.
00:32
Well, to do this, let's write the equation for the old line in slope intercept form.
00:39
So we have y equals negative x plus 7.
00:42
From this we derived at the slope of the old line, and therefore, because the new line is parallel to the old line, the slope of the new line is negative 1.
00:53
Now we have a point on the new line and the slope of the new line.
00:57
So using point slope form, can write the equation of the new line as y minus the y coordinate 2 over x minus the x coordinate negative 3 equals the slope negative 1...