Please see the specific axis documentation for all the available options for that axis. Our rise is now negative 14.These are only the common options supported by all cartesian axes. And now we have to goĭown in the y-direction since we switched the Started at negative 3, 16Īnd ended at that point. We started at this point,Īnd then ended at this point. So it's 14 over negativeħ, or negative 2. Negative 3 comma 16, that was analogous to starting Here, when we started at 4 and we ended at- or when And just to visualize ourĬhange in x's and our change in y's that we dealt with So we're going to goĪll the way up to 16. Graph here just to show you what a downward So once again, this isĮqual to negative 2. In y over change in x, our rise is negative 14Īnd our run here is 7. Over run, which is the same thing as change If we start at 16 and we end atĢ, that means we went down 14. And what is our change in y? Our change in y over here, Just calculate that, you would do 4 minus negative 3. If I start at negativeģ and I go to 4, that means I went up 7. What is our change in x? Our change in x. And let's say that ourĮndpoint is the 4 comma 2. They would've canceled out and we would still Gotten is the negative values of each of these, but then This the starting point and this the endpoint. To show you is, is that we could have done This, 14 divided by negative 7 is negative 2. Here is change in y over change in x, which So what is the slope over here? Well, the slope is justĬhange in y over change in x. Y-value and subtract from that your starting y-valueĪnd you get 14. If we're starting atĢ and we go to 16, that means we moved up 14. Let's do the same thingįor our change in y. Our endpoint, our end x-value minus our starting x-value. Let's do the same thingįor the change in y. To negative 3 minus 4, which is equal to negative 7. So what is the changeįrom 4 to negative 3, what was it's change? You have to goĭown 4 to get to 0, and then you have to go downĪnother 3 to get to negative 3. We could start at this point and go to that pointĪnd calculate the slope. Point and go to that point and calculate the slope or So we're startingĪt- and actually, we could do it both ways. The slope of the line that goes through these two points. These work for you, let's actually figure out X-value of your endpoint and subtract from that the Is, is you take the y-value of your endpoint To be kind of complicated, but all this means M is the same thing- and this is really the Might see this formula, and it tends to be It literally means "change in." Or another way, and you Is just change in y and run is just change in x. The line that goes through the ordered pairsĤ comma 2 and negative 3 comma 16. In fact, his line went through all the points that we made! Now, if you drew a line through all the coordinates we just made, it would look just like the line Sal drew. Well what do you know, now we are at (4,2)! The ending point we were aiming for. With the rise over run -2/1 (which is the same as 14/-7 remember? Just simplified), we go 2 down and 1 right. Let's try with Sal's examples, the starting point at (-3,16) to the ending point (4,2). Since they are proportional fractions, their slope is actually the same too! :) You can simplify the fraction by dividing both numbers by 7.ġ4 divided by 7 is 2, and -7 divided 7 is -1. :) Since -2 divided by 1 is just -2.ĭo you see the rise over run now? -2 is the "rise", while 1 is the "run".ġ4/-7 is a proportional fraction to -2/1. Remember that -2 can be written like -2/1.
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