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So what I want to do is to take out this old homework and on this homework I want to go back and revisit it I want to go back to questions 13 through 18, and we should have already done this but what I want you to do is to go back to 13 through 18 on both worksheets and write the equation of the line that passes through those points in all three forms so for example I want to do number 15 right here, and I want to rewrite it in slope-intercept form in point-slope form and in standard form so if you don't find your work sheet just copy down this question over on in your notebook on a blank piece of paper right here we have two points we have one point at the coordinate negative two negative three, and we have a coordinate at four five and through those two points exists a line now we want to do is write the equation of this line that crosses through this point in this point in all three forms because ultimately that's what we're going to have to do on Fridays tests I'm going to give you some information, and you're going to have to write down the equation of that information and then change that equation to all three forms to slope-intercept point-slope and standard okay so the very first thing to do on number 15 the only thing you could do with two points is to find your slope, so there's a slope formula when you use the slope formula I recommend you do the division sign and the subtraction signs and then plug in your values so let's label our coordinates XY X Y this is your first point, so I put a 1 right there is your second point, so I put a 2 right there and when we plug them in y2 is 5 y 1 is negative 3 × 2 is 4 × 1 is negative 2 and of course the minus changes the plus so our slope our M value is 8 over 6 which reduces down by 2 to 4 over 3, so we found our M value it's 43 so now at this point I have a slope my slope is 43, and I have some points I actually have one point two points the question is which method or which form would you start with when you start with the slope intercept would you start with point slope or would you start with standard which is the easiest form to start with if you found the slope which is 43, and you have some points point slope that's right if you have a point, and you have a slope you're going to start with point slope okay so let's start with point slope and all you need to write a point-slope form equation is a point which we have right here and a slope which we have right here, so we could start with point-slope form in order to write in point-slope form let's first show what our point-slope form equation is its kind of like slope-intercept for my but instead of y equals MX plus B it's y minus y1 equals M instead of MX plus B it's M parentheses X and inside the parentheses it's X minus, and then you close parentheses and in there's the X 1, so there's your point-slope form equation okay so like I said if you have a point, and you have a slope it's easy, and we just found the slope using the slope...
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