# Write a slope intercept equation of the line whose graph is perpendicular

Try the entered exercise, or type in your own exercise. With this point and my perpendicular slope, I can find the equation of the perpendicular line that'll give me the distance between the two original lines: Okay; now I have the equation of the perpendicular.

The reference slope is. I know the reference slope is. 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.

## Write a slope intercept equation of the line whose graph is perpendicular

You can use the Mathway widget below to practice finding a parallel line through a given point. How To: Given the equation of a function and a point through which its graph passes, write the equation of a line perpendicular to the given line. But even just trying them, rather than immediately throwing your hands up in defeat, will strengthen your skills — as well as winning you some major "brownie points" with your instructor. Then the perpendicular slope is. This is just my personal preference. For the perpendicular line, I have to find the perpendicular slope. I'll leave the rest of the exercise for you, if you're interested. Using this slope and the given point, we can find the equation for the line. So the slope of A is 2. So what's the slope of A? Well if it's perpendicular to this line, it's slope has to be the negative inverse of two-fifths. Search for: Write the equation of a line parallel or perpendicular to a given line If we know the equation of a line, we can use what we know about slope to write the equation of a line that is either parallel or perpendicular to the given line.

But I don't have two points. The slope of A is right there, it's the 2, mx plus b. Clicking on "Tap to view steps" on the widget's answer screen will take you to the Mathway site for a paid upgrade.

And its y-intercept we just figured out is negative 4. Yes, they can be long and messy. And they have different y-intercepts, so they're not the same line.

The left-hand side, negative 7 plus 3 is negative 4, and that's going to be equal to-- these guys cancel out-- that's equal to b, our y-intercept.

I start by converting the "9" to fractional form by putting it over "1". Instead of using the same slope, however, we use the negative reciprocal of the given slope. 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.

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