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asambeis [7]
3 years ago
12

What is the slope-intercept form equation of the line that passes through (3, 4) and (5, 16)?

Mathematics
1 answer:
Triss [41]3 years ago
4 0

Answer:

The equation of the line is y = 6x - 14

Step-by-step explanation:

To find the equation of this line, start by using the two points with the slope formula to find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (16 - 4)/(5 - 3)

m = 12/2

m = 6

Now that we have the slope, we can use that and either point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 4 = 6(x - 3)

y - 4 = 6x - 18

y = 6x - 14

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Help me with this problem please
andreev551 [17]

Answer:

y =   \frac{ - 3x + 6}{2}  =  \\ x = 4 \\ y =  \frac{ - 3 \times 4 + 6}{2}  =  \frac{ - 12 + 6}{2}  =   \frac{ - 6}{2}  =  - 3

3 0
3 years ago
PLS HELP. here's ss in case anyone got confused last time lol
Varvara68 [4.7K]
Heyyy....I’m still confused. Nah jk but thx for the points lol
4 0
3 years ago
Question 3 of 10<br> Evaluate: (4/5) 1/2<br> O A. 2/25<br> O B. 2/5<br> O C.4:5<br> O D.4/25
Natasha2012 [34]

Answer:

2/5

Step-by-step explanation:

5 0
2 years ago
Which of the following are square roots of —8 + 8i/3? Check all that apply.
8090 [49]

Answer:

Options (2) and (3)

Step-by-step explanation:

Let, \sqrt{-8+8i\sqrt{3}}=(a+bi)

(\sqrt{-8+8i\sqrt{3}})^2=(a+bi)^2

-8 + 8i√3 = a² + b²i² + 2abi

-8 + 8i√3 = a² - b² + 2abi

By comparing both the sides of the equation,

a² - b² = -8 -------(1)

2ab = 8√3

ab = 4√3 ----------(2)

a = \frac{4\sqrt{3}}{b}

By substituting the value of a in equation (1),

(\frac{4\sqrt{3}}{b})^2-b^2=-8

\frac{48}{b^2}-b^2=-8

48 - b⁴ = -8b²

b⁴ - 8b² - 48 = 0

b⁴ - 12b² + 4b² - 48 = 0

b²(b² - 12) + 4(b² - 12) = 0

(b² + 4)(b² - 12) = 0

b² + 4 = 0 ⇒ b = ±√-4

                     b = ± 2i

b² - 12 = 0 ⇒ b = ±2√3

Since, a = \frac{4\sqrt{3}}{b}

For b = ±2i,

a = \frac{4\sqrt{3}}{\pm2i}

  = \pm\frac{2i\sqrt{3}}{(-1)}

  = \mp 2i\sqrt{3}

But a is real therefore, a ≠ ±2i√3.

For b = ±2√3

a = \frac{4\sqrt{3}}{\pm 2\sqrt{3}}

a = ±2

Therefore, (a + bi) = (2 + 2i√3) and (-2 - 2i√3)

Options (2) and (3) are the correct options.

6 0
3 years ago
If r= 9 units and x = 4 units, then what is the volume of the cylinder shown above?
Thepotemich [5.8K]

Answer:

Volume of the cylinder is. 1017.36

Step-by-step explanation:

V=\pi r^2h is the area of a cylinder.

Let's plug in our values.

-----

3.14 = pi

9 = radius

x = height

-----

V = (3.14)(9)^2(4)

V = (3.14)(81)(4)

V = (3.14)(324)

V = 1017.36

3 0
3 years ago
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