# Write an equation of the line that is perpendicular to the given line

So the slope of A is 2.

### What is the equation of the line that passes through (?2, ?3) and is perpendicular to 2x ? 3y = 6?

This would give you your second point. Then click the button to compare your answer to Mathway's. Clicking on "Tap to view steps" on the widget's answer screen will take you to the Mathway site for a paid upgrade. 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. Pictures can only give you a rough idea of what is going on. Any other line with a slope of 3 will be parallel to f x. Then my perpendicular slope will be. 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. And they tell us that line A has an equation y is equal to 2x plus I know the reference slope is.

Content Continues Below MathHelp. We still don't know what the y-intercept of B is, but we can use this information to figure it out.

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. Parallel, Perpendicular Lines Purplemath There is one other consideration for straight-line equations: finding parallel and perpendicular lines.

Writing Equations of Parallel Lines Suppose for example, we are given the following equation. Then click the button to compare your answer to Mathway's. It will be the perpendicular distance between the two lines, but how do I find that?

Yes, they can be long and messy.

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