Slope Steepness and Direction The slope of a line tells two things: When you're plotting data, slope tells you the rate at which the dependent variable is changing with respect to the change in the independent variable.
Slope-intercept form linear equations Video transcript So you may or may not already know that any linear equation can be written in the form y is equal to mx plus b. Where m is the slope of the line. The same slope that we've been dealing with the last few videos. The rise over run of the line.
Or the inclination of the line. And b is the y-intercept. I think it's pretty easy to verify that b is a y-intercept. The way you verify that is you substitute x is equal to 0.
If you get x is equal to remember x is equal to 0, that means that's where we're going to intercept at the y-axis. If x is equal to 0, this equation becomes y is equal to m times 0 plus b.
I don't care what m is. So then y is going to be equal to b.
So the point 0, b is going to be on that line. The line will intercept the y-axis at the point y is equal to b. We'll see that with actual numbers in the next few videos. Just to verify for you that m is really the slope, let's just try some numbers out.
We know the point 0, b is on the line. What happens when x is equal to 1? You get y is equal to m times 1. Or it's equal to m plus b. So we also know that the point 1, m plus b is also on the line. This is just the y value. So what's the slope between that point and that point?
Let's take this as the end point, so you have m plus b, our change in y, m plus b minus b over our change in x, over 1 minus 0. This is our change in y over change in x.Write the Equation of the Line – Review 1.
Use the graph showing line b below to answer the following. Be sure to show the steps which justify EACH part of each answer. Your work will be graded based on the explanations that Explain how to use the graph to write an equation for this line in slope-intercept form.
Equation of a line on a graph. 4 stars based on 50 reviews Dissertation literature review outline write my essay 4 me discount code solar energy basics technology and systems pdf.
Freedom jonathan franzen colleges with open enrollment and no application fee plato knowledge summary. Columbian exchange diseases acknowledgement for. Use the point/slope equation to set up an equation given any point on the line and the slope.
Use the point/slope equation to set up an equation given two points on the line. Write a linear equation in the slope/intercept form. Books at initiativeblog.com Plot an Equation in an Excel Chart.
A common question new users ask is "How can I plot an equation?" I think people expect that charts have a magical ability to accept an equation and spit out a graph of X vs. Y.
Excel charts aren't that . There are many methods of finding the equation of a line with only a graph such as finding the slope and a point or finding two points. In order to understand finding the equation of line with its graph, one should understand the different forms of an equation of a line.
Given the graph of a line, you can determine the equation in two ways, using slope-intercept form, y = m x + b, or point-slope form, y − y 1 = m (x − x 1).
The slope and one point on the line is all that is needed to write the equation of a line.