# Write an equation in standard form perpendicular Analysis of the Solution We can confirm that the two lines are parallel by graphing them. Using this slope and the given point, we can find the equation for the line.

Writing Equations of Parallel Lines Suppose for example, we are given the following equation. The first thing I need to do is find the slope of the reference line. And its y-intercept we just figured out is negative 4. But how to I find that distance? I know the reference slope is. So what is B's slope going to have to be? The only way these two lines could have a distance between them is if they're parallel.

### Perpendicular line equation calculator

Then we'll know the slope of B, then we can use this point right here to fill in the gaps and figure out B's y-intercept. Analysis of the Solution A graph of the two lines is shown in Figure What is the slope of B? Of greater importance, notice that this exercise nowhere said anything about parallel or perpendicular lines, nor directed us to find any line's equation. Yes, they can be long and messy. The slope of A is right there, it's the 2, mx plus b. Determine the negative reciprocal of the slope. Figure 22 Writing Equations of Perpendicular Lines We can use a very similar process to write the equation for a line perpendicular to a given line. Pictures can only give you a rough idea of what is going on. The first thing I need to do is find the slope of the reference line. I'll leave the rest of the exercise for you, if you're interested. That intersection point will be the second point that I'll need for the Distance Formula.

Analysis of the Solution A graph of the two lines is shown in Figure We can begin with the point-slope form of an equation for a line, and then rewrite it in the slope-intercept form.

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