![]() ![]() So we end up at X equals six and we started at X equals four. And what's our change in X? Well we go from X equalsįour to X equals six. So this is going to be equal to, this is going to beĮqual to negative eight. We have a negative eight change in Y, which makes sense. So we started at Y equals nine, we finish at Y equals one, our change in Y is going Point and we go to that point, then our change in Y, goingįrom this point to that point is going to be, it's going to be equal to one minus, one minus nine. Second point right over here, if we say this is kind of our, if we're starting at this And what's that going to be? Well, if we say that this Ourselves that slope, slope, is equal to, slope is equal to change The two points that we know? And we just have to remind We could just evaluate well what's the slope between To apply point-slope easily, we just have to figure out the slope. Were given two points that are solutions, that represent solutions to the linear equation. The slope of the line that represents the solution Satisfy the linear equation, and if you were to know Very easy to generate if you know a point on the line, or if you know a point that satisfies, where the X and Y coordinates So let's first thinkĪbout point-slope form. And I encourage you, like always, pause the video and see if you can do it. In both point-slope form and in slope-intercept form. Now what I want to do in this video is I want to say, well can weįind that linear equation and can we express it Represents all of the solutions to this linear equation. Now let's say we also know, we also know that when X is equal to six Y is equal to one. We have a linear equation and we know when X is equal to four that Y is equal to nine and we've plotted that I hope that this helped! I have never answered a question before, so I'm sorry if this answer seemed to go on forever. So you would set up the slope equation like so: ![]() So now you know that there is no y-intercept in this problem. To find slope you would do the following: Remember, it is change in Y over change in X because you need to find the independent variable for the slope. I bought 2 ornaments, so my points for the graph would be the following: Otherwise, you would be searching for Y, and you already know what it is. That is why you always do change in Y over change in X. So you already know what the dependent variable is. The dependent variable is the amount of money because it changes depending on the amount of ornaments. Every ornament I buy increases the amount of money I spend by $2. So say for example that I am looking for christmas tree ornaments. So when you are finding slope, you are trying to find the rate of change of the independent variable. Looking for video summary of this content? Checkout this helpful 5-minute video explanation of slope-intercept form.Ĭlick here to explore more helpful Albert Algebra 1 review guides.It is not the change in X over the change in Y because X is always the independent variable in the situation, and Y is always the dependent variable in the situation. We have also found x and y-intercepts from an equation in slope-intercept form.We have determined slope-intercept form using a graph, using a point and a slope, and using two points.Remember, slope-intercept form is: y=mx+b.Return to the Table of Contents Summary: Slope-Intercept Form To learn more, read our review guide on the standard form of linear equations. This form can be very useful to solve systems of equations. Point-Slope FormĪ linear equation can also be written in standard form. To learn more, read our detailed review article on point-slope form. Linear equations can also be written in point-slope form, determined by one point on the line and the slope of the line. Return to the Table of Contents Other forms of linear equations ![]()
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