Slope and y-intercept from equation
How to Find the Slope, Y-intercept, and Equation of a Line Given a Table of Values Vocabulary Linear Function: This is a function that has a constant rate of change and produces a straight line. Step 1: Enter the linear equation you want to find the slope and y-intercept for into the editor. The slope and y-intercept calculator takes a linear equation and allows you to calculate the slope and y-intercept for the equation. The equation can be in any form as long as its linear and and you can find the slope and y .
Answer To find the slope and y-intercept of this equation, we need to understand the Slope-Intercept Form of what is plasma glucose level equation of a line. The following link will explain the Slope-Intercept Form in more detail. Lesson on Slope-Intercept Form. Average Rating. Click here to add your own comments.
Join in and write your own page! It's easy to do. Simply click here to return to Graphs Library. Aug 22, Rating slope by: Anonymous a line has the slope of 6 and y-intercept of what is its equation in slop-intercept form. Apr 07, Rating wowsupereasyfantasticalohmygoshgollyougottotryit by: Princess Your explanation couldn't be any easier than this. I've had teachers and tutors explain this fijd me.
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Intro to slope-intercept form
y = x + 6. The equation above is already is in Slope-Intercept Form. To clearly explain this, we can rewrite the equation above like this: y = 1x + 6. Now, let's do some comparison: y = mx + b. y = 1x + 6. With this, we can clearly see that this equation have the slope = 1 and y-intercept = 6. The following link will explain the Slope-Intercept Form in more detail. FIND THE SLOPE AND Y INTERCEPT To find the slope and y-intercept of a line, you have to write the equation of the line in the form, y = mx + b Here 'm' stands for slope of .
Last Updated: February 3, References. This article was co-authored by Grace Imson, MA. Grace Imson is a math teacher with over 40 years of teaching experience. She has taught math at the elementary, middle, high school, and college levels.
There are 11 references cited in this article, which can be found at the bottom of the page. This article has been viewed , times. The y-intercept of an equation is a point where the graph of the equation intersects the Y-axis.
To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y. If the equation is written in the slope-intercept form, plug in the slope and the x and y coordinates for a point on the line to solve for y. If you don't know the slope, calculate it by dividing the rise of the line by the run. If you want to find the y-intercept if you only know 2 points along the line, keep reading the article! Did this summary help you?
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Method 1 of Write down the slope and point. This type of problem also gives you the x,y coordinate of one point along the graph.
Skip to the other methods below if you don't have both these pieces of information. Example 1: A straight line with slope 2 contains the point -3,4. Find the y-intercept of this line using the steps below.
Learn the slope-intercept form of an equation. When the equation is in this form, the variable m is the slope, and b is the y-intercept.
Substitute the slope in this equation. Write the slope-intercept equation, but instead of m , use the slope of your line. Example 1 cont. Replace x and y with the coordinates of the point. Any time you have the coordinates of a single point on your line, you can substitute those x and y coordinates for the x and y in your line equation. Do this for the equation you've been working on. Solve for b.
Remember, b is the y-intercept of the line. Now that b is the only variable in the equation, rearrange to solve for this variable and find the answer. Write this as a coordinate point. The y-intercept is the point where the line intersects with the y-axis. Method 2 of Write down the coordinates of both points. Example 2: A straight line passes through points -1, 2 and 3, Calculate the rise and run.
Slope is a measure of how much vertical distance the line moves for each unit of horizontal distance. Here's how to find these two quantities from two points: "Rise" is the change in vertical distance, or the difference between the y -values of the two points. Example 2 cont. Divide rise by run to find the slope. Review the slope-intercept form.
Now that we know the slope m and a point x,y , we can use this equation to solve for b , the y-intercept. Fit the slope and point into the equation. Take the equation in slope-intercept form and replace m with the slope you calculated. Replace the x and y terms with the coordinates of a single point on the line. It doesn't matter which point you use. Now the only variable left in the equation is b , the y-intercept. Rearrange the equation so b is on one side, and you have your answer.
Remember, the y-intercept always has an x-coordinate of 0. Method 3 of Write down the equation of the line. If you already have the equation of the line, you can find the y-intercept with a little algebra. Note: Example 3 is a straight line. See the end of this section for an example of a quadratic equation with a variable raised to the power of 2. Substitute 0 for x. This means any point on the y-axis has an x-coordinate of 0, including the y-intercept of the line.
Plug in 0 for x in the line equation. Example 3 cont. Solve for y. The answer is the y-intercept of the line. The y-intercept of the line is 4. Confirm by graphing optional. To check your answer, graph the equation as neatly as you can. The point where the line crosses the y-axis is the y-intercept. Find the y-intercept for a quadratic equation. A quadratic equation includes a variable x or y raised to the power of 2.
You can solve for y with the same substitution, but since the quadratic describes a curve, it could intercept the y-axis at 0, 1, or 2 points. This means you may end up with 0, 1, or 2 answers. Remember, when taking a square root, you must account for two answers: a negative and a positive. These are both y-intercepts of this curve. If I have 3, as my points and an x-intercept of one, what would the y-intercept be? Solve by using Method 2 above. You need two points to use that method.
One point is given as 3, The second point is the given x-intercept, which is 1,0. Not Helpful 16 Helpful If I am only given one specific point, how can I convert it into slope intercept form? You can't have only one point. Imagine you're standing in the middle of your neighborhood street and have no where to go. No direction, no distance, etc. You don't need to go to your friend's house or to school.
That is an example of having only one point without any other point to go to so there's no line. Thus, no equation. And more importantly, no math to work out. Not Helpful 20 Helpful Substitute the known slope for m, and substitute the known point's coordinates for x and y, respectively, in the slope-intercept equation.