All categories

2 years ago

Write an equation in slope-intercept form of the line containing the points (3,-1) and (6, 7).

Mathematics

1 answer:

umka2103 [35]2 years ago

7 0

The equation in slope-intercept form of the line containing the points (3,-1) and (6, 7) is; y = ⁸/₃x - 7

<h3>What is the equation in Slope Intercept form?</h3>

We are given the coordinates of two points as;

(3,-1) and (6, 7).

Now, the formula for the equation of the line containing the two points in slope intercept form is;

(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)

Thus, we have;

(y + 1)/(x - 3) = (7 + 1)/(6 - 3)

(y + 1)/(x - 3) = = 8/3

y + 1 = (8/3)(x - 3)

y + 1 = ⁸/₃x - 8

y = ⁸/₃x - 7

Read more about Slope intercept form at; brainly.com/question/1884491

#SPJ1

You might be interested in

Find the surface area of the figure shown.

balandron [24]

Answer:

The correct answer is option d. 576 ft^2

Step-by-step explanation:

From the figure we can see that a prism

<u>To find the surface area</u>

Surface area = Base area + area of 2 triangles + Two side area

Base area = length * breadth = 15 * 12 = 180 ft^2

Area of triangle = bh/2 = (12 * 8)/2 = 48 ft^2

Area of two triangle = 48 * 2 = 96 ft^2

Area of one side = 15 * 10 = 150 ft^2

Area of two side = 2 * 150 = 300 ft^2

Surface area = 180 + 96 + 300 = 576 ft^2

The correct answer is option d. 576 ft^2

3 0

3 years ago

15 seats in 3 rows = ? seats per row

goblinko [34]

5 seats per row is the answer....

4 0

3 years ago

Read 2 more answers

According to the Rational Root Theorem, what are all the potential rational roots of fx) = 5x - 7x + 11?

Ahat [919]

Answer:

±1/5, ±1, ±11/5, ±11

Step-by-step explanation:

Potential rational roots of 5x² -7x +11 will be of the form ...

(divisor of 11)/(divisor of 5)

so will include ...

±1/5, ±1, ±11/5, ±11

8 0

4 years ago

1. Find the 90% Cl for the population mean if sample

Elden [556K]

Answer:

The answer is below

Step-by-step explanation:

mean (μ) = 12, SD(σ) = 2.3, sample size (n) = 65

Given that the confidence level (c) = 90% = 0.9

α = 1 - c = 0.1

α/2 = 0.05

The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65

The margin of error (E) is given as:

$E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.65*\frac{2.3}{\sqrt{65} } =0.47$

The confidence interval = μ ± E = 12 ± 0.47 = (11.53, 12.47)

mean (μ) = 23, SD(σ) = 12, sample size (n) = 45

Given that the confidence level (c) = 88% = 0.88

α = 1 - c = 0.12

α/2 = 0.06

The z score of α/2 is the same as the z score of 0.44 (0.5 - 0.06) which is equal to 1.56

The margin of error (E) is given as:

$E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.56*\frac{12}{\sqrt{45} } =2.8$

The confidence interval = μ ± E = 23 ± 2.8 = (22.2, 25.8)

8 0

3 years ago

What is the radical form of each of the given expressions?

earnstyle [38]

Answer:

$6^{\frac{1}{5} }=\sqrt[5]{6}$

$6^{\frac{7}{5} }=\sqrt[5]{6^7}$

$6^{\frac{1}{6} }=\sqrt[6]{6}$

$7^{\frac{1}{2} }=\sqrt[2]{7}$

$7^{\frac{5}{2} }=\sqrt[2]{7^5}$

$6^{\frac{9}{2} }=\sqrt[2]{6^9}$

Step-by-step explanation:

A radical is the root operation for n roots such as square root or cuberoot in the form $\sqrt[n]{x}$ . A fraction exponent $x^{m/n}$ can be converted to the radical form.

$6^{\frac{1}{5} }=\sqrt[5]{6}$

$6^{\frac{7}{5} }=\sqrt[5]{6^7}$

$6^{\frac{1}{6} }=\sqrt[6]{6}$

$7^{\frac{1}{2} }=\sqrt[2]{7}$

$7^{\frac{5}{2} }=\sqrt[2]{7^5}$

$6^{\frac{9}{2} }=\sqrt[2]{6^9}$

7 0

3 years ago