# Write an equation for the line

It has two slider bars that can be manipulated.

## Equation of a line calculator

Vectors give directions and can be three dimensional objects. With a spin and a flourish, we're done. Write the equation for the line. It is important to not come away from this section with the idea that vector functions only graph out lines. At this point all that we need to worry about is notational issues and how they can be used to give the equation of a curve. We know a point on the line and just need a parallel vector. If your device is not in landscape mode many of the equations will run off the side of your device should be able to scroll to see them and some of the menu items will be cut off due to the narrow screen width. We need the two-points method here. Slope-intercept Form The graph below represents any line that can be written in slope-intercept form. However, a vertical line is not a function so the definition is not contradicted. Substitute the given values into either the general point-slope equation or the slope-intercept equation for a line. Example 1 Write a slope-intercept equation for the line shown: The line crosses the y-axis at 0, The only difference is that we are now working in three dimensions instead of two dimensions. There is one more form of the line that we want to look at.

Now we can use the point to find the y-intercept by substituting the given values into the slope-intercept form of a line and solving for b. The bar labeled m lets you adjust the slope, or steepness, of the line.

The bar labeled b changes the y-intercept. Here are some evaluations for our example. When the absolute value of m gets close to zero, the slope flattens.

That means that any vector that is parallel to the given line must also be parallel to the new line. Simply by changing the values of m and b, you can define any line.

## How to find the equation of a line with one point and no slope

Here are the parametric equations of the line. A positive y-intercept means the line crosses the y-axis above the origin, while a negative y-intercept means that the line crosses below the origin. Substitute the given values into either the general point-slope equation or the slope-intercept equation for a line. We can begin with the point-slope form of an equation for a line, and then rewrite it in the slope-intercept form. However, in those cases the graph may no longer be a curve in space. Find the slope of the function. However, a vertical line is not a function so the definition is not contradicted. For two perpendicular linear functions, the product of their slopes is —1. That's our b, Be aware that perpendicular lines may not look obviously perpendicular on a graphing calculator unless we use the square zoom feature.

For two perpendicular linear functions, the product of their slopes is —1.

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