00:01
Being asked to use point slope form to write the equation of a line that passes through the point two zero and is parallel to the line 5x plus 3y equals 6.
00:08
Well, remember, point slope form is y minus y1 equal to m times x minus x1.
00:15
So in order to use point slope form, we need the point, which we have 2 .0, so 2 is x sub 1 and 0 is y sub 1.
00:23
But we also need our slope, which it will tell us.
00:26
But we know our line is parallel to this line right here, 5x plus 3 .3.
00:30
Y equals 6.
00:31
And remember, parallel lines have the same slope.
00:34
So we just need to find the slope of the given line.
00:36
So i'm going to solve this equation for y.
00:39
So i'm going to start by subtracting 5x from both sides of the equation.
00:43
So that leaves us with 3y equals negative 5x plus 6.
00:47
And then we divide each term by 3.
00:50
So when we do that, we're going to get y equals negative 5 over 3x plus 2...