Y and x stand for the coordinates of any points on the line. Remember that slope is the change in y or rise over the change in x or run. Now, b gives us the value of y where x is zero, this is called the y-intercept or where the line will cross the y axis.
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.
While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler. Point-slope form is also used to take a graph and find the equation of that particular line.
The point slope form gets its name because it uses a single point on the graph and the slope of the line. Think about it this way: You have a starting point on a map, and you are given a direction to head.
You have all the information you need to draw a single line on the map. The standard point slope formula looks like this: In this case it denotes a specific y value which you will plug into the equation.
The variable m is the slope of the line.
Example 1 You are given the point 4,3 and a slope of 2. 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. Your final result should look like: Your point is -1,5.
Create the equation that describes this line in point-slope form. Try working it out on your own. Point-slope form is all about having a single point and a direction slope and converting that between an algebraic equation and a graph.
In the example above, we took a given point and slope and made an equation. Example 2 Find the equation in point-slope form for the line shown in this graph: To write the equation, we need two things: It is simple to find a point because we just need ANY point on the line.
Note also that it is useful to pick a point on the axis, because one of the values will be zero. Finding the slope requires a little calculation, but it is also pretty easy. Therefore the slope of this line is 2. You could have used any triangle to figure out the slope and you would still get the same answer.
Putting it all together, our point is -1,0 and our slope is 2. We know how to use the point-slope form, so the final answer is: As you can see, point-slope form is nothing too complicated. It is just one method to writing an equation for a line.
And of course, if you need more help, feel free to ask the volunteers on our math help message board.The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
This is described by the following equation: = . (The Greek letter delta, Δ, is commonly used in mathematics to mean "difference" or "change".). Write an equation in slope -intercept form for the line described.
slope , passes through (0, 5) 62/87,21 Substitute m = and (x, y) = (0, 5) in the equation y. Algebra 1 - Linear Equations Worksheets Graphing Lines in Slope-Intercept Form Worksheets.
This Linear Equations Worksheet will produce problems for practicing graphing lines in slope-intercept form. Method 1: Using Slope Intercept Form. What is the equation of line parallel to y = 3x + 5 and through the point (1, 7)?.
Many students are more comfortable using slope intercept form but this kind of problem is actually much easier, using point slope form (which is right below this work).
Step 1. Substitute the slope from original line (3 in this case) into the equation of the line . Example: Find the equation of the line that is: parallel to y = 2x + 1 ; and passes though the point (5,4) The slope of y=2x+1 is: 2.
The parallel line needs to . Write the equation of the given line in slope-intercept form to determine its slope, then use that same slope and your point in the point-slope formula Equation of a line perpendicular to a given line.