To that point, what happened to x? We went from negative 3 toĦ, it should go up by 9. That point to that point, our y went down by 6, right? We went from 6 to 0. What we're doing, this negative 3 is that negativeģ, right there. That right over there, that's that negative 3. Value- that is that 6 right there, or that 6 right there-Īnd we want to subtract from that our starting x value. Was our starting y point, that is that 6 right there. Point, or x-coordinate? Our finishing x-coordinateĭon't want to confuse you. Which is 0, y ends up at the 0, and y was at 6. That point, what is the change in y? Well, we have our end point, Point, if we imagine that we are going from here to Now what is the change in y? If we view this as our end Slope, which is equal to m, which is going to be equal to Then point slope form is actually very, very, very
They really don't haveĪny interpretation directly on the graph. What value does y take on when x is 0? And then standard form is theįorm ax plus by is equal to c, where these are just two Y-intercept- where does the line intersect the y-axis. Slope intercept form is y isĮqual to mx plus b, where once again m is the slope, b is the Minus negative 3, so it'll end up becoming x plus 3. The line, then we'd say y minus 6 is equal to m times x That in this video, if the point negative 3 comma 6 is on Slope form would be y minus y1 is equal to The slope of the line, then putting that line in point That, look, if I know a particular point, and if I know
Subscript 1 and a y with a subscript 1, that's like sayingĪ particular value x and a particular value of y, We're talking about a variable that can take Little subscript here, so if they just write an x, that means Let's say that that is a point on the line. But just so you know what theseĪre, point slope form, let's say the point x1, y1 are,
We can manipulate it to get any of the other ones.
These, these are just three different ways of writing In point slope form, slope intercept form, standard form.
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