Explanation:

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

With the new slope, usage the slope intercept kind and the point to calculate the intercept: *y* = *mx* + *b* or 5 = 3(1) + *b*, therefore *b* = 2

So *y* = 3*x* + 2

What heat is perpendicular come

and passes v ?Explanation:

Convert the given equation to slope-intercept form.

You are watching: Which equation represents a line that passes through (–9, –3) and has a slope of –6?

The slope of this line is

. The slope of the heat perpendicular come this one will have a slope same to the an unfavorable reciprocal.The perpendicular steep is

.Plug the brand-new slope and also the given allude into the slope-intercept form to discover the y-intercept.

So the equation of the perpendicular line is

.What is the equation the a line the runs perpendicular come the heat 2*x* + *y *= 5 and also passes with the suggest (2,7)?

Explanation:

First, put the equation that the line given into slope-intercept kind by resolving for *y*. You gain *y* = -2*x* +5, therefore the steep is –2. Perpendicular lines have actually opposite-reciprocal slopes, therefore the slope of the heat we want to uncover is 1/2. Plugging in the point given right into the equation *y* = 1/2*x* + *b* and also solving for *b*, we get *b* = 6. Thus, the equation the the heat is *y* = ½*x* + 6. Rearranged, it is –*x*/2 + *y* = 6.

Line *m *passes with the clues (1, 4) and (5, 2). If heat *p *is perpendicular come *m, *then which of the following could represent the equation for *p?*

Explanation:

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

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

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

Slope of *p* = 2

So us must choose the equation that has a slope of 2. If us rewrite the equations in point-slope form (y = mx + b), we see that the equation 2x **–** y = 3 could be created as y = 2x – 3. This means that the steep of the heat 2x **– **y =3 would certainly be 2, so it could be the equation of line *p*. The prize is 2x – y = 3.

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### Example question #5 : how To discover The Equation of A Perpendicular line

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

?**Possible Answers:**

**Correct answer:**

Explanation:

Perpendicular slopes are opposite reciprocals.

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

The slope of the offered line is

and the perpendicular steep is .We can use the given allude and the new slope to discover the perpendicular equation. Plug in the slope and also the given coordinates to settle for the y-intercept.

Using this y-intercept in slope-intercept form, we get out last equation:

.Report an Error

### Example concern #1 : exactly how To uncover The Equation of A Perpendicular line

Which line listed below is perpendicular come

?**Possible Answers:**

**Correct answer:**

Explanation:

The an interpretation of a perpendicular heat is one that has actually a negative, mutual slope to another.

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

.According to our

formula, our slope for the initial line is . We are looking for response that has actually a perpendicular slope, or an the opposite reciprocal. The opposite reciprocal of is . Upper and lower reversal the original and multiply the by .Our answer will have actually a steep of

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

. Ar the entirety number end one and also then flip/negate. This walk not apply to the over problem, however should be interpreted to tackle certain permutations that this problem form where the original slope is one integer.)Report an Error

### Example concern #1 : just how To discover The Equation of A Perpendicular heat

If a line has actually an equation of

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

**Correct answer:**

Explanation:

Putting the an initial equation in slope-intercept form yields

.A perpendicular line has a slope that is the negative inverse. In this case,

.Report one Error

### Example inquiry #8 : how To discover The Equation the A Perpendicular line

Which the the complying with is perhaps a line perpendicular to

?**Possible Answers:**

**Correct answer:**

Explanation:

To start, start by dividing everything by

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

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### Example question #9 : how To discover The Equation of A Perpendicular heat

Which of the following is the equation of a line perpendicular come the line offered by:

?**Possible Answers:**

**Correct answer:**

Explanation:

For two lines to be perpendicular their slopes must have actually a product of

. and so we check out the correct answer is given byReport one Error

### Example inquiry #1 : exactly how To find The Equation of A Perpendicular heat

What is the equation that a line perpendicular to the line identified by the equaiton:

**Possible Answers:**

**Correct answer:**

Explanation:

Perpendicular lines have actually slopes whose product is

.Looking at our equations we have the right to see that it is in slope-intercept form where the m value represents the steep of the line,

.In our instance we see that

therefore,

.Since

we check out the only possible answer is .See more: American Pickers Full Ep Is American Pickers On Netflix, American Pickers Full Episodes, Video & More

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