![]() Slope or the y-intercept? Well, we could do a similar idea. Like what we had up here, how do we figure out the Let's say we had y isĮqual to negative seven, what's the slope and y-intercept there? Well, once again, you might say, hey, this doesn't look This as five x plus zero, and then it might jump out at you that our y-intercept is zero and our slope is aĬoefficient on the x term. I only have one term on the right-hand side What's the slope and y-intercept there? At first, you might say, hey, this looks nothing Let's say that we had theĮquation y is equal to five x. Here, what's the coefficient? Well, you can view negative x as the same thing as negative one x. But what's my slope? Well, the slope is theĬoefficient on the x term but all you see is a negative Might immediately recognize, okay, my constant term, when it's in this form, that's my b, that is my y-intercept. So, we could rewrite this as y is equal to negative x plus 12, negative x plus 12. Term before the constant term, so we might wanna do that over here. The standard form, slope intercept form, we're used to seeing the x Similar is going on here that we had over here. You can determine the slope and the y-intercept. Let's say that we have the equation y is equal to 12 minus x. And then it becomes a little bit clear that our slope is three, theĬoefficient on the x term, and our y-intercept is five, y-intercept. It doesn't matter which one comes first, you're just adding the two, so you can rewrite it as y isĮqual to three x plus five. So, if you wanna write it in the same form as we have up there, you can just swap theįive and the three x. Here, it's not five x, it's just five, and this isn't three, it's three x. Taken you a second or two to realize how this earlier equation is different than the one I just wrote. Y-intercept in this situation? Well, it might have Let's say if we hadįorm y is equal to five plus three x, what is the slope and the So, that's pretty straightforward but let's see a few slightly And b is just going to be thisĬonstant term, plus three. So, if we just look at this, m is going to be the coefficient Is equal to the slope, which people use the letter m for, the slope times x plus the y-intercept, which people use the letter b for. In slope intercept form where it has a form y Y-intercept in this example here? Well, we've already talked about that we can have something Let's say we have something of the form y is equal to five x plus three. So, let's start with something that we might already recognize. Once you've got both m and b you can just put them in the equation at their respective position.Like to do in this video is a few more examples recognizing the slope and ![]() This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b. This can be done by calculating the slope between two known points of the line using the slope formula. To summarize how to write a linear equation using the slope-interception form you Which is the same equation as we got when we read the y-intercept from the graph. ![]() If we put in this value for b in the equation we get You can use this equation to write an equation if you know the slope and the y-intercept.Ĭalculate the slope between the two points ![]() Where m is the slope of the line and b is the y-intercept. An equation in the slope-intercept form is written as ![]()
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