What are they and why use them? But what if we want to look at the effects of explanatory variables?
Slope-intercept form linear equations Video transcript A line goes through the points -1, 6 and 5, 4. What is the equation of the line?
Let's just try to visualize this. So that is my x axis. And you don't have to draw it to do this problem but it always help to visualize That is my y axis. And the first point is -1,6 So -1, 6. So negative 1 coma, 1, 2, 3, 4 ,5 6. So it's this point, rigth over there, it's -1, 6.
And the other point is 5, And we go down 4, So 1, 2, 3, 4 So it's right over there. So the line connects them will looks something like this.
Line will draw a rough approximation. I can draw a straighter than that. I will draw a dotted line maybe Easier do dotted line. So the line will looks something like that. So let's find its equation.
So good place to start is we can find its slope. Remember, we want, we can find the equation y is equal to mx plus b. This is the slope-intercept form where m is the slope and b is the y-intercept.
We can first try to solve for m. We can find the slope of this line. So m, or the slope is the change in y over the change in x.
Or, we can view it as the y value of our end point minus the y value of our starting point over the x-value of our end point minus the x-value of our starting point.
Let me make that clear. So this is equal to change in y over change in x wich is the same thing as rise over run wich is the same thing as the y-value of your ending point minus the y-value of your starting point.
This is the same exact thing as change in y and that over the x value of your ending point minus the x-value of your starting point This is the exact same thing as change in x.
And you just have to pick one of these as the starting point and one as the ending point. So let's just make this over here our starting point and make that our ending point.
So what is our change in y? So our change in y, to go we started at y is equal to six, we started at y is equal to 6. And we go down all the way to y is equal to negative 4 So this is rigth here, that is our change in y You can look at the graph and say, oh, if I start at 6 and I go to negative 4 I went down This right here is y2, our ending y and this is our beginning y This is y1.
So y2, negative 4 minus y1, 6. That is equal to negative And all it does is tell us the change in y you go from this point to that point We have to go down, our rise is negative we have to go down That's where the negative 10 comes from. Now we just have to find our change in x.
So we can look at this graph over here. We started at x is equal to negative 1 and we go all the way to x is equal to 5. So we started at x is equal to negative 1, and we go all the way to x is equal to 5.
So it takes us one to go to zero and then five more.Write each intercept as a unique ordered pair. SHOW ALL WORK A) True B) False 5.
Write an equation of a line that has the same slope as 2x – 5y = 12 and the same y-intercept as 4y + 24 = 5x. A) y= 2/5x−6 B) y=6x−2/5 since the slopes are the same and the y-intercepts are different.
B) No, since the y-intercepts are different. C 5/5(7). Know what x- and y-intercepts are. Use the point/slope equation to set up an equation given any point on the line and the slope. Do you know what the ordered pair for the origin is? If you said (0, 0) you are right on!!!
Write an equation for the line in point/slope form and slope/intercept form that has the given condition. 1a. Slope. Graphing straight lines. Using the equation to sketch the line. If you are given an equation of a straight line and asked to draw its graph all you need to do is find two points whose coordinates satisfy the equation and plot the points.
If an equation may be written in the form x = a, where a is a real number, then the graph of the equation is a vertical line; that is, it is a straight line that is parallel to the y-axis Slope the rate of change between two ordered pair solutions to a linear equation is called a slope.
Graphing a linear equation written in slope-intercept form, y= mx+b is easy!
Remember the structure of y=mx+b and that graphing it will always give you a straight line. Interaction effects occur when the effect of one variable depends on the value of another variable.
Interaction effects are common in regression analysis, ANOVA, and designed monstermanfilm.com this blog post, I explain interaction effects, how to interpret them in statistical designs, and the problems you will face if you don’t include them in your model.