For instance, the red line in the picture below is the graph of the .Also,since the line is horizontal, every point on that line has the exact same y value.Tags: Essay On Childhood Of Swami VivekanandaHomework Effects On StudentsThe Held Essays On Visual ArtEssays Teaching ApplicationEssay Writing QualifiersEssays That Will Get You Into Medical SchoolEmpathy EssayEssay On Community ServiceHomework Help GeometryComputer Consulting Business Plan
To be able to use slope intercept form, all that you need to be able to do is 1) find the slope of a line and 2) find the y-intercept of a line.
Since a vertical line goes straight up and down, its slope is undefined.
If you're behind a web filter, please make sure that the domains *.and *.are unblocked. The equation of this line is y is equal to negative 5x plus 6. So they're telling us the slope, slope of negative 1. But we could figure out both of them from these coordinates. So that's a 6-- I want to make it color-coded-- minus 0. So I wanted to show you, this is the coordinate 2 comma 6.
In this video I'm going to do a bunch of examples of finding the equations of lines in slope-intercept form. So we know that m is equal to negative 1, but we're not 100% sure about where the y-intercept is just yet. So let's see, we get a 0 is equal to negative 4/5 plus b. So the first thing we can do is figure out the slope.
Also, the x value of every point on a vertical line is the same.
Ending Essays With A Question - How To Solve A Slope Problem
Therefore, whatever the x value is, is also the value of 'b'.The fact that the line contains this point means that the value x is equal to 4/5, y is equal to 0 must satisfy this equation. y is equal to negative 1 times x, which we write as negative x, plus b, which is 4/5, just like that. The line contains the point 2 comma 6 and 5 comma 0. Now we can do exactly what we did in the last problem. I'll use the 5 comma 0 because it's always nice when you have a 0 there. It's just to show you I could pick either of these points. Remember when I first learned this, I would always be tempted to do the x in the numerator. Whenever zero is the denominator of the fraction in this case of the fraction representing the slope of a line, the fraction is undefined. This is because any horizontal line has a $$\Delta y$$ or "rise" of zero.Therefore, regardless of what the run is (provided its' not also zero! If the slope of a line changed, then it would be a zigzag line and not a straight line, as you can see in the picture above. A line with a positive slope slant upwards, whereas a line with a negative slope slant downwards.The slope of a line characterizes the direction of a line.An equation in the slope-intercept form is written as $$y=mx b$$ Where m is the slope of the line and b is the y-intercept.You can use this equation to write an equation if you know the slope and the y-intercept.Example Find the equation of the line Choose two points that are on the line Calculate the slope between the two points $$m=\frac=\frac=\frac=\frac$$ We can find the b-value, the y-intercept, by looking at the graph b = 1 We've got a value for m and a value for b.This gives us the linear function $$y=-\fracx 1$$ In many cases the value of b is not as easily read. From these two points we calculated the slope $$m=-\frac$$ This gives us the equation $$y=-\fracx b$$ From this we can solve the equation for b $$b=y \fracx$$ And if we put in the values from our first point (-3, 3) we get $$b=3 \frac\cdot \left ( -3 \right )=3 \left ( -2 \right )=1$$ If we put in this value for b in the equation we get $$y=-\fracx 1$$ which is the same equation as we got when we read the y-intercept from the graph.