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2 years ago

What is the equation of the line through (5,1) with a slope of -3?

Mathematics

2 answers:

PilotLPTM [1.2K]2 years ago

7 0

Answer:

Step-by-step explanation:

The equation of a line is given by the formula $y-y_1=m(x-x_1)$

Where $x_1$ is the x-coordinate (it is given as 5)

$y_1$ is the y-coordinate (it is given as 1), and

m is the slope (it is given as -3)

Plugging in all the info into the formula we have:

$y-y_1=m(x-x_1)\\y-1=-3(x-5)$

From the answer choices, we see that C is the correct answer.

pav-90 [236]2 years ago

6 0

Answer:

c.y-1 = -3(x-5)

Step-by-step explanation:

We have given slope of a line and the point that is passing through the line.

slope = -3 and (x₁,y₁) = (5,1)

We have to find the equation of line.

y-y₁ = m(x-x₁) is point-slope form of the equation of line where m is slope.

Putting given values in above formula, we have

y-(1) = -3(x-(5))

y-1 = -3(x-5) is the equation of the line through (5,1) with a slope of -3.

You might be interested in

Evaluate the question

mylen [45]

Answer:

A) 5/6

B) -67/30 (or) -2 7/30

A) -9/2 (or) -4 1/2

Step-by-step explanation:

A) 2/3(5)-5/2=3 1/3-5/2 = 10/3-5/2 = 20/6-15/6= 5/6

B) 2/3(2/5)-5/2= 4/15-5/2 = 8/30-75/30 = -67/30

A) 2/3(-3)-5/2=-2-5/2= -4 1/2

7 0

2 years ago

If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure & the perimeter of triangle ABC.

harina [27]

Answer:

$Perimeter = 38.6$

Step-by-step explanation:

Given

$A\ B = 13$

$B\ F = 9$

$F\ C = 5.6$

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

$Perimeter = A B + B\ C + A\ C$

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

$B\ C^2 = B\ F^2 + F\ C^2$

Substitute values for BF and FC;

$B\ C^2 = 9^2 + 5.6^2$

$B\ C^2 = 81 + 31.36$

$B\ C^2 = 112.36$

$B\ C^2= \sqrt{112.36$

$B\ C = 10.6$

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

$A\ B^2 = B\ F^2 + A\ F^2$

Substitute values for B F and A B;

$13^2 = 9^2 + A\ F^2$

$169= 81 + A\ F^2$

$A\ F^2 = 169 - 81$

$A\ F^2 = 88$

$A\ F = \sqrt{88$

$A\ F = 9.4$

Since F lies on line A C:

$A\ C = A\ F + F\ C$

$A\ C = 9.4 + 5.6$

$A\ C = 15.0$

Recall that:

$Perimeter = A\ B + B\ C + A\ C$

$Perimeter = 13 + 10.6 + 15.0$

$Perimeter = 38.6$

<em>Hence, the perimeter is 38.6</em>

3 0

2 years ago

Please help me !!! i will mark brain-list for the correct answer !!!

Shtirlitz [24]

Answer:

Step-by-step explanation:

So remember that a quarter of a circle is 90 degrees, a half of a circle is 180 degrees, and a whole circle is 360 degrees.

Looking at the image shown, it must be half a circle, whihc is 180 degrees. The image tells us that the 1st angle is 7 degrees. Now, we must find the 2nd angle.

Heres what we know however:

angle 1 + angle 2 = 180 degrees.

How do we know this?

Well, there are only 2 angles in this 180 degrees. We know that the first one is 7 degrees.

Lets input that into our nice lil equation to get an answer:

7 degrees+angle 2 = 180 degrees

Now lets solve.

Subtract 7 on both sides, and your left with:

angle 2 = 173 degrees.

So the answer must be:

<u>173 degrees</u>

Hope this helps! ;)

4 0

2 years ago

A rectangle has an area of 45x2 − 42x − 48 and a width of 5x − 8. What is the length of the rectangle?

Irina18 [472]

Dividend

Divisor

and

9x+6

3 0

2 years ago

Read 2 more answers

Plz help meeeeeeeeeee

PSYCHO15rus [73]

Answer:

Please check the explanation.

Step-by-step explanation:

We know the equation

y = kx

k = y/x

where k is the proportionality constant

so,

First ratio can be calculated as

Miles = 45

Hours = 3/4

The ratio = 45 / (3/4)

= (45 × 4) / 3

= 180/3

= 60

Thus, the proportionality constant = 60

Thus, the remaining ratios can be calculated as:

The Pair (135, Hours)

135/Hours = 60

Hours = 135 / 60

= 27/12

= 9/4

= 2.25

Thus, the pair is (135, 2.25)

The Pair (Miles, 3)

Miles/3 = 60

Miles = 60×3

= 180

The Pair (90, Hours)

90/Hours = 60

Hours = 90 / 60

= 3/2

= 1.5

Thus, the complete table:

Miles 45 135 180 90

Hours 3/4 9/4 3 3/2

Verification:

Miles / Hour = 45/(3/4) = 60

Miles / Hour = 135 / 2.25 = 60

Miles / Hour = 180 / 3 = 60

Miles / Hour = 90 / 1.5 = 60

8 0

2 years ago