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3 years ago

Use slope-intercept form, y = mx + b to find the equation of the line that passes through the points (−6, 1) and (3, 4).

Mathematics

2 answers:

Mnenie [13.5K]3 years ago

6 0

Answer:

y = one-third x + 3

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step 1: Find slope m

m = (4 - 1)/(3 + 6)

m = 3/9

m = 1/3

y = 1/3x + b

Step 2: Find b

4 = 1/3(3) + b

4 = 1 + b

b = 3

Step 3: Rewrite

y = 1/3x + 3

zalisa [80]3 years ago

6 0

Answer:

y = one-third x + 3

Step-by-step explanation:

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Please help me, will mark brainliest for correct answers.....

Alexandra [31]

Answer:

1. B) 5.7

2. A) 12

3. A) 11.4

4. A) 5.7

5. A) 16.2

6. A) 11.2

7. No, they do not form a right triangle

8. Yes, they do form a right triangle

Step-by-step explanation:

Extra tip: The hypotenuse has to be less than both sides added together, but cannot be more than either of the sides alone.

16² + b² = 17²

256 + b² = 289

256 - 256 + b² = 289 - 256

b² = 33

√b² = √33

b = 5.74 or 5.7

16² + b² = 20²

256 + b² = 400

256 - 256 + b² = 400 - 256

b² = 144

√b² = √144

b = 12

7² + 9² = c²

49 + 81 = c²

130 = c²

√130 = √c²

11.40 or 11.4 = c

7² + b² = 9²

49 + b² = 81

49 - 49 + b² = 81 - 49

b² = 32

√b² = √32

b = 5.65 or 5.7

a² + 5² = 17²

a² + 25 = 289

a² + 25 - 25 = 289 - 25

a² = 264

√a² = √264

a = 16.24 or 16.2

10² + b² = 15²

100 + b² = 225

100 - 100 + b² = 225 - 100

b² = 125

√b² = √125

b = 11.18 or 11.2

15² + 8² = 16²

225 + 64 = 256

289 ≠ 256

5² + 12² = 13²

25 + 144 = 169

169 = 169

8 0

3 years ago

Please help me! I need help with this question.

slega [8]

The congruent statement and the reason why the triangles are congruent is (b) ΔUVZ ≅ ΔVYX, SSS

<h3>How to determine the congruent statement and the reason?</h3>

From the question, we have the following parameters that can be used in our computation:

Triangles = UVZ and VYX

There are several theorems that make any two triangles to be congruent

One of these theorems is the SSS congruent theorem

The SSS congruent theorem implies that the corresponding sides of the triangles in question are congruent

From the question, we can see that the following corresponding sides on the triangles UVZ and VYX have the same mark

UV and VY

UZ and VX

VZ and YX

This implies that these sides are congruent sides

Hence, the congruent statement on the congruency of the triangles is (b) ΔUVZ ≅ ΔVYX and the reason is by SSS

Read more about congruent triangles at

brainly.com/question/1675117

#SPJ1

5 0

1 year ago

Read 2 more answers

The answer and how you got the answer

olasank [31]

Answer:

$\frac{34}{15}$

Step-by-step explanation:

we are asked to evaluate

$4\tfrac{1}{4}$ ÷ $1\tfrac{7}{8}$

Above we are given mixed fraction which can be converted in proper fraction using formula given below

$a\tfrac{b}{c}=\frac{a \times c +b}{c}$

Hence

$4\tfrac{1}{4}=\frac{4 \times 4 +1}{4}$

$4\tfrac{1}{4}=\frac{17}{4}$

Also

$1\tfrac{7}{8}=\frac{1 \times 8 +7}{8}$

$1\tfrac{7}{8}=\frac{15}{8}$

Hence

$4\tfrac{1}{4}$ ÷ $1\tfrac{7}{8}$

can be written as

$\frac{17}{4}$ ÷ $\frac{15}{8}$

Also we know the rule for dividing fraction is as given below

$\frac{a}{b}$ ÷ $\frac{c}{d}$ = $\frac{a}{b} \times \frac{d}{c}$

Hence

$\frac{17}{4}$ ÷ $\frac{15}{8}$ = $\frac{17}{4} \times \frac{8}{15}$

= $\frac{17 \times 2}{15}$

= $\frac{34}{15}$

8 0

3 years ago

The amount of time it takes Renee to go grocery shopping is continuous and uniformly distributed between 18.5 minutes and 40.5 m

balandron [24]

Answer:

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniformly distributed between 18.5 minutes and 40.5 minutes.

This means that $a = 18.5, b = 40.5$

What is the probability that it takes Renee at most 29 minutes to go grocery shopping

$P(X \leq 29) = \frac{29 - 18.5}{40.5 - 18.5} = 0.4773$

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

3 0

3 years ago

Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27,

Tanya [424]

Answer:

A, B and C

Step-by-step explanation:

In the equation: 3y=27x

Making y the subject of the equation, we have:

$y=\frac{27}{3}x\\y=9x$

The constant of proportionality between y and x is 9.

We want to determine which relationships have the same constant of proportionality 9.

Option A

y=9x

The constant of proportionality is 9.

Option B

2y=18x

Divide both sides by 2 to obtain: y=9x

The constant of proportionality is 9.

Option C

x=3, y=1/3

Substitution into y=kx gives:

1/3=3k

k=9

The constant of proportionality is 9.

Option D

x=6, y=2/3

Substitution into y=kx gives:

2/3=6k

k=2/3*6=4

The constant of proportionality is 4.

Option E

When x=2, y=18

Substitution into y=kx gives:

18=2k

k=9

However, when x=4, y=27

Substitution into y=kx gives:

27=4k

k=6.75

This is not a proportional relation since the constant of proportionality is not equal.

The correct options are A, B and C

4 0

3 years ago