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Today we×39’re going to learn how to graph line in standard form remember standard form is the one that looks like ax plus B y equals C where ab and C are all integers remember integers means positive or negative whole numbers we also like ITF our first one is positive so let×39;just look at one of those say for example we had 2x minus 3y equals 6 theses in standard form the is 2 the B is negative 3 and the C is 6 now those by themselves tell us absolutely nothing, but we can use those to find some other things for example we can find the intercept we can find the x intercept using the shortcut C over a so if I use Cover a for us that would be 6 over 2 6divided by 2 is 3 for an x intercept Have the x value itself and a Y of 0this is which point the x intercept ISSN this is where I would graph it on my graph I can also find the y intercept the y intercept using these a B and Shortcuts would be C over B our C is 6and our B is negative 3 6 divided by negative 3 gives us a negative 2 that means our y intercept is at 0 negative 2also sometimes you×39’ll see it written ASB equals negative 2 if we want to find more points we need to know our slope is negative an over B that'the shortcut that we use more in standard form so for us negative a chichis 2 B which is negative 3 notice behave a negative on top and a negative on bottom, so we can those out which means our slope is two over three remember the top number tells you whether you're going up or down so this means we're going up to bottom number tells us whether we×39’re going left to right since it's positive that means×39’re going to the right, so I could group to right three now how do i graph that well I have two points, so I could go put those two points on my graph Have the point 3 0 and 0 negative 2 solar×39’s your graph for us the point 0 and negative 2 was our y-intercept so we cargo down to negative 2 on the y-axis and put a point our x-intercept was 3 0 some can go to 3 0 1 2 3 and put a point also our slope told us we could go up toad to the right 3 so if we go up 2 tithe right 3 up 2 to the right 3 up 2 tithe right 3 we can continue that same pattern all the way to the edge of the graph now remember we had negative 2over negative 3, and we said the negatives cancel we can also think of ITAs negative 2 over negative 3 which would help with our directions that tells us that would go down 2 and to the left 3 so for following those directions we could start here go down 2 and left 3to get some more points on our line slope is great for that helping us find more points on the line our graph tends to be a little straighter if we can get more points drawn after we get the points we need, we get our straight edge connect the dot sand that would be how we graph a line in standard form
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