- Find the Equation of a Line Given That You Know a Point on the Line And Its Slope
- How do you write the slope intercept form for (-2,9) and (1,6)?
Find the Equation of a Line Given That You Know a Point on the Line And Its Slope
Learn how to find the slope-intercept equation of a line from two points on that line.season episode what with does
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. Also, the x value of every point on a vertical line is the same. Therefore, whatever the x value is, is also the value of 'b'. Also,since the line is horizontal, every point on that line has the exact same y value. This y-value is therefore also the y-intercept. In depth lesson on the equation of a horizontal line.
Practice finding the slope-intercept equation of a line from its graph. Practice: Writing linear functions word problems · Slope-intercept form review.
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Any straight line in Cartesian coordinates — the graphing system you're used to — can be represented by a basic algebraic equation. Even if you aren't handed these two pieces of information, you can use other data — like the location of any two points on the line — to figure it out. Imagine that you've been asked to write the slope-intercept equation for a line that passes through the points -3, 5 and 2, Calculate the slope of the line. This is often described as rise over run, or the change in the y coordinates of the two points over the change in x coordinates. So, given the two points in the example, you arbitrarily choose one of the points to be the first point in the line, leaving the other to be the second point. Then subtract the y values of the two points:.
Let's first quickly review slope intercept form. Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope rate and the y-intercept. Continue reading for a couple of examples! The variables x and y should always remain variables when writing a linear equation. In the example above, you were given the slope and y-intercept. Now let's look at a graph and write an equation based on the linear graph.
Many students find this useful because of its simplicity. One can easily describe the characteristics of the straight line even without seeing its graph because the slope and y -intercept can easily be identified or read off from this form. So our next goal is to somehow figure out what the value of b first. Again, the value of y -intercept b is not directly provided to us. But we can utilize the given slope and a point to find it.
How do you write the slope intercept form for (-2,9) and (1,6)?
Straight-line equations, or "linear" equations, graph as straight lines, and have simple variable expressions with no exponents on them. If you see an equation with only x and y — as opposed to, say x 2 or sqrt y — then you're dealing with a straight-line equation. There are different types of "standard" formats for straight lines; the particular "standard" format your book refers to may differ from that used in some other books.