00:01
So we're given the equation 10x plus 3y is equal to 7.
00:06
Well that is equivalent to 3y is equal to negative 10x plus 7, or y is equal to negative ten -thirds x plus seven -thirds.
00:20
So your slope here is negative ten -thirds, and that means that the slope is negative.
00:31
So that's the answer to part a.
00:38
And then for part b, as x increases in value, since the slope is negative, as x increases, y decreases.
00:52
And then c, if x decreases by 6 units, what is the corresponding change in y? well, the slope is the change in y divided by the change in x.
01:12
So if we know the change in x, delta y is going to be the slope times the change in x.
01:22
So that is going to be negative ten -third times 6, which is negative 60 over 3, or negative 20.
01:37
So if x decreases, oh, decreases by 6, so it's a negative 6, so this is a positive 60, and then y increases by 20 units.
01:50
So y increases 20.
01:59
And then for part d, find an equation of the line that passes through the point 9, 2...