Is your graph rising from left to right? All you need to know is the slope rate and the y-intercept. Find the equation for this line in point slope form. Just plug the given values into your point-slope formula above. Your slope was given to you, so where you see m, use 2.
Point-Slope Calculator Many functions to try! In the example above, you were given the slope and y-intercept. Point-slope form is all about having a single point and a direction slope and converting that between an algebraic equation and a graph.
It is simple to find a point because we just need ANY point on the line. Think about it this way: You have a positive slope. Your final result should look like: Your point is -1,5.
Example 2 demonstrates how to write an equation based on a graph. You have all the information you need to draw a single line on the map. Using the Point-Slope Form of a Line Another way to express the equation of a straight line Point-slope refers to a method for graphing a linear equation on an x-y axis.
You can also check your equation by analyzing the graph. Example 1 You are given the point 4,3 and a slope of 2. The following are examples of a rate: Real World Problems When you have a real world problem, there are two things that you want to look for! To write the equation, we need two things: As you can see, point-slope form is nothing too complicated.
The standard point slope formula looks like this: And of course, if you need more help, feel free to ask the volunteers on our math help message board. Putting it all together, our point is -1,0 and our slope is 2. You have a starting point on a map, and you are given a direction to head.In the example above, we took a given point and slope and made an equation.
Now let's take an equation and find out the point and slope so we can graph it. Example 2. Find the equation (in point-slope form) for the line shown in this graph: Solution: To write the equation, we need two things: a point, and a slope.
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. To summarize how to write a linear equation using the slope-interception form you.
Identify the slope, m.
This can be done by calculating the slope between two known points of the line using. The equation of the vertical line through (, ) is x = However, this is not in "slope-intercept form" because a vertical line has no slope, it cannot be written in slope-intercept form. All other lines besides vertical ones have slopes.
What is the Equation of a Straight Line?Summary1 What is the Equation of a Straight Line?2 Equation Forms of Straight Lines3 Examples Slope-Intercept Form Example Point-Slope Form Example When working with straight lines, there are several ways to arrive at an equation which represents the line.
Learn about the slope-intercept form of two-variable linear equations, and how to interpret it to find the slope and y-intercept of their line.
How to find the slope and the y y y y-intercept of a line from its slope-intercept equation. Write an equation of a line whose slope is 1 0 10 1 0 10 and y y y y-intercept is (0.
Write the equation for a line that has a slope of -2 and y-intercept of 5. NOTES: I substituted the value for the slope (-2) for m and the value for the y-intercept (5) for b.
The variables x and y should always remain variables when writing a linear equation.Download