00:01
First thing we are asked to do for this problem is to put this equation in slope intercept form, meaning we're being asked to solve this equation out for y.
00:11
First step to doing that would be to subtract 6x to the other side.
00:15
The opposite of positive 6x would be negative 6x, right? opposite of addition is subtraction.
00:20
So that would leave us with 5y is equal to negative 6x plus 30.
00:28
Y is still not quite by itself we have to move the 5 over as well.
00:34
5 is being multiplied to the y, and we know the opposite of multiplication is division.
00:41
So we want to divide both sides by 5.
00:45
Remember that this does mean you have to divide both negative 6x and 30 by 5.
00:53
Negative 6x divided by 5 does not come out evenly, so we'll simply leave it as negative 6x.
00:59
6 over 5 x 30 divided by 5 does come out evenly positive 30 divided by positive 5 is positive 6 so part a our answer for slope intercept form is that y is equal to negative 6 over 5x plus 6 part b then asks us to give the slope of this line slope is m and we know m is always the coefficient in front of x in this case our coefficient is negative 6 over 5, negative 6 5ths.
01:41
Part c asks us to find the y intercept.
01:45
We know that the y intercept, any y intercept, is always 0 comma something...