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2 years ago

the line passes through the point (6,1) and has a slope of -1/2 what is the point slope form and slope intercept form

Mathematics

2 answers:

anygoal [31]2 years ago

8 0

Hi there! :)

We are given the slope of the line and a point that it passes through.

Using this information, we can write the equation in point-slope form:

y-y1=m(-x1)

y-1=-1/2(x-6)

y-1=-1/2x+3

Now, move -1 to the right, using the opposite operation:

y=-1/2x+3+1

y=-1/2x+4

And that's our equation. Hope it helps.

*Graceful Dreamer here to help

Good luck.

stiv31 [10]2 years ago

4 0

This is the answer ur looking for
Hope I helped!

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2 years ago

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3 years ago

Given cos theta = - 2/5 and sin theta < 0, find the six trigonometric values. I need help with this

Lena [83]

Answer:

$\sin\,\theta =-\frac{\sqrt{21} }{5}$

$\tan\,\theta =\frac{\sqrt{21} }{2}$

$\sec\,\theta = \frac{-5}{2}$

$cosec\,\theta =\frac{-5}{\sqrt{21} }$

$\cot\,\theta =\frac{2}{\sqrt{21} }$

Step-by-step explanation:

$\cos\theta =\frac{-2}{5}$

As both $sin\,\theta$ ,

$\theta$ lies in the third quadrant.

In the third quadrant,

$\sin\theta$

$\sin\,\theta =-\sqrt{1-\cos^2\,\theta} \\=-\sqrt{1-(\frac{-2}{5})^2 } \\\\=-\sqrt{1-\frac{4}{25} }\\\\=-\sqrt{\frac{25-4}{25} }\\\\=-\frac{\sqrt{21} }{5}$

$\tan\,\theta = \frac{\sin\,\theta}{\cos\,\theta }\\\\=\frac{\frac{-\sqrt{21} }{5} }{\frac{-2}{5} }\\\\=\frac{\sqrt{21} }{2}$

$\sec\,\theta =\frac{1}{\cos\,\theta }\\\\=\frac{1}{\frac{-2}{5} }\\\\=\frac{-5}{2}$

$\ cosec \,\theta = \frac{1}{sin\,\theta }\\\\=\frac{1}{\frac{-\sqrt{21} }{5} }\\\\=\frac{-5}{\sqrt{21} }$

$\cot\,\theta =\frac{1}{\tan\,\theta}\\\\=\frac{1}{\frac{\sqrt{21} }{2} }\\\\=\frac{2}{\sqrt{21} }$

3 0

3 years ago

Solve the equation. у+ 3 = -у +9 Оy = 1 Оy= 3 O y=6 Оy= 9

Triss [41]

Answer:

y = 3

Step-by-step explanation:

Solve for y:

y + 3 = 9 - y

Add y to both sides:

y + y + 3 = (y - y) + 9

y - y = 0:

y + y + 3 = 9

y + y = 2 y:

2 y + 3 = 9

Subtract 3 from both sides:

2 y + (3 - 3) = 9 - 3

3 - 3 = 0:

2 y = 9 - 3

9 - 3 = 6:

2 y = 6

Divide both sides of 2 y = 6 by 2:

(2 y)/2 = 6/2

2/2 = 1:

y = 6/2

The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:

Answer: y = 3

5 0

3 years ago

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Colton and his children went into a movie theater and he bought $48.50 worth of bags of popcorn and candies. Each bag of popcorn

Inessa [10]

Answer:

5 bags of popcorn and 6 candies.

Step-by-step explanation:

(5 * $5.50) + ($3.5*6) = $48.5

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3 years ago

the line passes through the point (6,1) and has a slope of -1/2 what is the point slope form and slope intercept form ​

the line passes through the point (6,1) and has a slope of -1/2 what is the point slope form and slope intercept form