Explanation:

Convert the equation to steep intercept type to obtain *y* = –1/3*x* + 2. The old steep is –1/3 and the new slope is 3. Perpendicular slopes have to be opposite reciprocals of every other: *m*1 * *m*2 = –1

With the brand-new slope, use the slope intercept form and the allude to calculation the intercept: *y* = *mx* + *b* or 5 = 3(1) + *b*, therefore *b* = 2

So *y* = 3*x* + 2

What line is perpendicular come

and passes v ?Explanation:

Convert the provided equation come slope-intercept form.

You are watching: Find the perpendicular slope of the line 3x-9y=15

The steep of this line is

. The steep of the line perpendicular come this one will have a slope same to the negative reciprocal.The perpendicular slope is

.Plug the new slope and the given allude into the slope-intercept type to discover the y-intercept.

So the equation of the perpendicular line is

.What is the equation that a line the runs perpendicular to the heat 2*x* + *y *= 5 and passes through the point (2,7)?

Explanation:

First, placed the equation of the line provided into slope-intercept form by addressing for *y*. You gain *y* = -2*x* +5, therefore the steep is –2. Perpendicular lines have opposite-reciprocal slopes, for this reason the slope of the line we desire to find is 1/2. Plugging in the allude given right into the equation *y* = 1/2*x* + *b* and solving for *b*, we gain *b* = 6. Thus, the equation the the line is *y* = ½*x* + 6. Rearranged, the is –*x*/2 + *y* = 6.

Line *m *passes v the clues (1, 4) and also (5, 2). If line *p *is perpendicular come *m, *then which of the following could represent the equation because that *p?*

Explanation:

The slope of *m* is same to y2-y1/x2-x1 = 2-4/5-1 = -1/2

Since heat *p* is perpendicular to line *m*, this method that the products of the slopes that *p* and also *m* need to be **–**1:

(slope of *p*) * (-1/2) = -1

Slope the *p* = 2

So us must pick the equation that has actually a slope of 2. If us rewrite the equations in point-slope type (y = mx + b), we see that the equation 2x **–** y = 3 could be written as y = 2x – 3. This method that the slope of the line 2x **– **y =3 would be 2, so it might be the equation of line *p*. The answer is 2x – y = 3.

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### Example inquiry #5 : just how To uncover The Equation the A Perpendicular line

What is the equation because that the line the is perpendicular to through point

?**Possible Answers:**

**Correct answer:**

Explanation:

Perpendicular slopes space opposite reciprocals.

The given slope is uncovered by converting the equation to the slope-intercept form.

The steep of the offered line is

and the perpendicular slope is .We deserve to use the given allude and the brand-new slope to find the perpendicular equation. Plug in the slope and the given works with to deal with for the y-intercept.

Using this y-intercept in slope-intercept form, we acquire out final equation:

.Report an Error

### Example question #1 : just how To find The Equation the A Perpendicular line

Which line below is perpendicular come

?**Possible Answers:**

**Correct answer:**

Explanation:

The definition of a perpendicular heat is one that has actually a negative, mutual slope come another.

For this specific problem, us must first manipulate our initial equation right into a much more easily recognizable and also useful form: slope-intercept form or

.According come our

formula, our slope because that the original line is . We room looking for response that has a perpendicular slope, or an the opposite reciprocal. The opposite reciprocal of is . Upper and lower reversal the original and also multiply that by .Our price will have a slope of

. Search the answer selections for in the position of the equation. is our answer.(As an aside, the an adverse reciprocal of 4 is

. Place the whole number end one and then flip/negate. This walk not use to the above problem, however should be taken to tackle certain permutations the this problem type where the original slope is one integer.)Report one Error

### Example inquiry #1 : just how To find The Equation the A Perpendicular heat

If a line has actually an equation of

, what is the steep of a line the is perpendicular come the line?**Possible Answers:**

**Correct answer:**

Explanation:

Putting the first equation in slope-intercept kind yields

.A perpendicular line has actually a slope that is the an unfavorable inverse. In this case,

.Report one Error

### Example inquiry #8 : exactly how To uncover The Equation the A Perpendicular heat

Which that the following is probably a heat perpendicular to

?**Possible Answers:**

**Correct answer:**

Explanation:

To start, start by splitting everything by

, this will obtain your equation into the format . This gives you:Now, recall the the steep of a perpendicular line is the *opposite* and *reciprocal* steep to its support perpendicular line. Thus, if our slope is

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### Example concern #9 : just how To discover The Equation that A Perpendicular line

Which the the adhering to is the equation that a line perpendicular to the line given by:

?**Possible Answers:**

**Correct answer:**

Explanation:

For two lines to it is in perpendicular their slopes must have actually a product of

. and therefore we view the correct answer is offered byReport an Error

### Example concern #10 : how To discover The Equation that A Perpendicular heat

What is the equation of a line perpendicular to the line defined by the equaiton:

**Possible Answers:**

**Correct answer:**

Explanation:

Perpendicular lines have actually slopes who product is

.Looking in ~ our equations we deserve to see that it is in slope-intercept type where the m value represents the slope of the line,

.In our situation we watch that

therefore,

.Since

we check out the only possible answer is .See more: Can Bearded Dragons Eat Sweet Peas ? Can Bearded Dragons Eat Sugar Snap Peas

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