Point slop is one of the method used to find the straight line equation. Use the below point slope form calculator to calculate the equation of the straight line by entering the value for slope and coordinate point X1, Y1.
This form is given by the equation: Discussion This equation is very similar to the equations that we learned on day 5 and day 6.
Just like on those days, today we are again learning another way to write the equation of a line. So, after today, we will have three different methods of writing the equation of a line, and one should be able to differentiate beteween when each method should be used.
This differentiation should be easy because the name tells one which equation to use. In order to use the slope-intercept form, one needs a slope and the y-intercept. If you don't have or can't find these two pieces of information, you can't use the slope-intercept form. In order to write the equation of a line in standard form, one must already have the equation of line.
So, if you don't have the equation of a line, you can't convert it into standard form. Here, one must have already used either the slope-intercept equation or the point-slope equation to find the equation of a line.
Now, it is time to discuss the final equation, the point-slope form of a line. As stated in the definition, the point slope form of a line is given by the equation: Examples 1 - 3 will explain how to use this equation. Write the equation of a line that goes through the point 2, 1 with a slope of 4.
Here, we want to be able to make three substitutions. We need to replace m, x1 and y1 with a numerical value. In this class, we will solve this equation for y, or in other words, we will change point-slope form into slope intercept form.
So, the first thing that we have to decide is if we have values for these three variables. We substitute into the equation to get: Next, distribute the 4 to get: Finally, solve for y by adding 1 to both sides to get our answer of: So, we now have the equation of a line through the given point with the given slope.
This change is made because it is much easier to work with the slope-intercept form than any of the others. Write the equation of a line that passes through the point 4, -3 with a slope of First, do we have enough information to use the point-slope equation? Yes, we have m, x1, and y1 which are the three values that we need.
So, we just follow the same three steps as in example1. Solve for y by subtracting 3 from both sides.
Sometimes, we will not have all of the information that we need to use the point-slope equation given to us. When this happens, we will have to calculate the missing information in order to write the equation of a line. Usually, the missing information is the slope of the line.
This should not be a problem to calculate because we learned how to find slope on day 2. Write the equation of a line that passes through the points 1, 2 and 4, 8. Here, we want to use the point-slope form, but we do not have slope.Find the slope and y-intercept of the equation Find the slope of the line passing through the given points Writing the Equation of a Line Using the Point-Slope Form.
Given Two Points, Find the slope, write in point slope form, graph from point slope. See more. match the graphed line, slope-intercept form equation, standard form equation and point-slope equation. 8 problems asking the students to write an equation of a line either in slope intercept or point-slope form given either tw.
Improve your math knowledge with free questions in "Point-slope form: write an equation from a graph" and thousands of other math skills. How to Write the Equation into Standard Form When Given an Equation. If there are fractions: How to Write the Equation into Standard Form When Given the Slope and a Point on the Line.
Write the equation into y = mx + b using y - k = m (x - h). See Sec for assistance. Apr 12, · Write standard form of an equation with slope passing through given point?Status: Resolved. Point-slope form is about having a single point and a direction and converting that between an algebraic equation and a graph.
Examples: Find the equation of the line that passes through (-3, 1) with slope .