00:02
Hey guys, welcome back.
00:04
So this problem, we're giving the equation 3x plus 4y is equal to 8, and we need to find a line that is perpendicular to that, and that also goes through the point 0 -92.
00:21
So first, we want to write this equation.
00:25
We want to solve for y.
00:27
So we'll have 4 -y is equal to 8, and then we can subtract 3x from each sides.
00:33
We have 8 minus 3x.
00:35
And then we want to divide everything through by 4 of y is equal to 8 divided by 4 is 2 minus 3 4th x and to find a line that is perpendicular to this negative 3 4th slope we know that negative 3 4ths times our new line times called m for our slope this has to equal negative 1 if the lines are going to be perpendicular so we can cross multiply so we have m is equal to negative 1 times negative 4 thirds, which is equal to 4 thirds.
01:27
So if our original line had a slope of negative 3 fourths, a line that is perpendicular will have a slope of positive 4 thirds...