All categories

3 years ago

(8,-7)m=-3/4 write an equation in point slope form of the line that passes through the given point and has the given slope

Mathematics

1 answer:

Paladinen [302]3 years ago

6 0

Answer:

Equation of the straight line in point-slope form

y -(-7) = $\frac{-3}{4}$ (x-8)

Equation of the straight line

3x +4y +4=0

Step-by-step explanation:

Explanation:-

Given that the point ( 8,-7) and $m = \frac{-3}{4}$

Equation of the straight line passing through the point (x₁, y₁) and having slope 'm'

y - y₁ = m (x-x₁)

y -(-7) = $\frac{-3}{4}$ (x-8)

4( y+7) = -3(x-8)

4y +28 = -3x +24

3x +4y +28 -24 =0

3x +4y +4=0

You might be interested in

City health officials will conduct a two-sample t-test for a difference in means to investigate whether

Anvisha [2.4K]

Answer:

The calculated value t = 2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

Step-by-step explanation:

Step(i):-

Given that the first sample size 'n₁' = 22

Given that the mean of the first sample x₁⁻ = 120

Given that the standard deviation of the sample (s₁) = 20

Given that the mean of the second sample x₂⁻ = 100

Given that the standard deviation of the second sample (S₂) = 30

Step(ii):-

T-test statistic

$t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

where

$S^{2} = \frac{n_{1} S_{1} ^{2}+n_{2} S_{2} ^{2} }{n_{1} +n_{2}-2 }$

$S^{2} = \frac{22( 20)^{2}+ 15(30) ^{2} }{22 +15-2 }$

S² = 637.1428

S = √637.1428 = 25.24168

The standard deviation of the sample 'S' = 25.24168

Step(iii):-

Null Hypothesis:H₀:

There is no difference between the means

Alternative Hypothesis:H₁:

There is a difference between the means

T-test statistic

$t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

$t = \frac{ 120 -100 }{\sqrt{637.14 (\frac{1}{22 }+\frac{1}{15 } ) } }$

t = 2.366

Degrees of freedom

γ = n₁+n₂ -2 = 22+15-2 = 35

t₀.₀₅ = 2.0301

The calculated value t = 2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

3 0

3 years ago

Read 2 more answers

Explain the Error A student wrote this statement: "A triangular prism has height of 15 inches and a base area of 20 square inche

stepan [7]

15•20=300
300/2=159

The student did not divide by 2.

5 0

3 years ago

Read 2 more answers

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B

Vesnalui [34]

Answer:

(4,0)

Step-by-step explanation:

5 0

3 years ago

P(A) = 7/20 P(B) = 7/20 P(A or B) = 49/80, P(A and B)= ?

OverLord2011 [107]

Answer:

P(A and B) = 7/80

Step-by-step explanation:

The given values of the probabilities of the different events are;

P(A) = 7/20

P(B) = 7/20

P(A or B) = 49/80

P(A and B) = Required

We have by probability theory for any event;

P(A or B) = P(A) + P(B) - P(A and B)

Therefore;

P(A and B) = P(A) + P(B) - P(A or B)

Plugging in the values gives;

P(A and B) = 7/20 + 7/20 - 49/80 = 7/80

∴ P(A and B) = 7/80

8 0

3 years ago

What is the value of x

tatiyna

Step-by-step explanation:

2x = x + 11

x = 11

4 0

3 years ago

Read 2 more answers