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Crank
3 years ago
13

Line JK passes through points J(–4, –5) and K(–6, 3). If the equation of the line is written in slope-intercept form, y = mx + b

, what is the value of b? –21 –4 11 27
Mathematics
2 answers:
garri49 [273]3 years ago
5 0

Answer:

b = - 21

Step-by-step explanation:

calculate m using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (- 6, 3)

m = \frac{3+5}{-6+4} = \frac{8}{-2} = - 4

y = - 4x + b ← is the partial equation

to find b substitute either of the 2 given points into the partial equation

using (- 4, - 5 ), then

- 5 = 16 + b ⇒ b = - 5 - 16 = - 21


AnnZ [28]3 years ago
3 0

Answer: -21

Step-by-step explanation:

We know that the equation of a line passing through points (a,b) and (c,d) is given by :-

(y-b)=\dfrac{d-b}{c-a}(x-a)

Then , the equation of a line passing through points J(-4, -5) and K(-6, 3) is given by :-

(y-(-5))=\dfrac{3-(-5)}{-6-(-4)}(x-(-4))\\\\\Rightarrow\ (y+5)=\dfrac{8}{-2}(x+4)\\\\\Rightarrow\ y+5=-4(x+4))\\\\\Rightarrow\ y+5=-4x-16\\\\\Rightarrow\ y=-4x-21

Comparing to the general intercept form of equation y = mx + b, we get

The value of b=-21

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4 question in one 65 points
jeka94

Q6.

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have: slope m = 3, y-intercept (0, 4) → b= 4

<h3>Answer: y = 3x + 4</h3>

Q7.

2x + 4y = 4     |subtract 2x from both sides

4y = -2x + 4     |divide both sides by 4

y = -0.5x + 1

Only second graph has y-intercept = 1.

<h3>Answer: The second graph.</h3>

Q8.

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have

(-16,\ 8)\to x_1=-16,\ y_1=8\\(4,\ -2)\to x_2=4,\ y_2=-2

Substitute:

m=\dfrac{-2-8}{4-(-16)}=\dfrac{-10}{20}=-\dfrac{1}{2}\\\\y-8=-\dfrac{1}{2}(x-(-16))\\\\y-8=-\dfrac{1}{2}(x+16)

<h3>Answer: The first equation.</h3>

Q9.

It's a vertical line. The equation of a vertical line is x = <em>a</em>, where <em>a</em> is any real number.

<h3>Answer: x = -4</h3>
6 0
3 years ago
Read 2 more answers
A triangular prism. The base of a triangular side is shaded. What are the possible shapes of cross sections of this figure? A cr
Alexxandr [17]

Answer:

the first one is triangle and the second one is rectangle

Step-by-step explanation:

i just did it on edge

3 0
3 years ago
Read 2 more answers
Los lados de un triángulo rectángulo tienen por medida tres números enteros consecutivos. Calcula los lados del triángulo.
elixir [45]

Answer:

Los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.

Step-by-step explanation:

Un triángulo rectángulo puede ser descrito mediante el teorema de Pitágoras, para el caso de tres lados representando tres números enteros consecutivos, tenemos que:

(n+2)^{2} = n^{2} + (n+1)^{2} (1)

Donde n es un número natural.

A continuación, expandimos la expresión y resolvemos:

n^{2}+4\cdot n +4 = n^{2} + n^{2} +2\cdot n + 1

n^{2}-2\cdot n -3 = 0

(n -3) \cdot (n+1) = 0

La única solución factible es n = 3. En consecuencia, los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.

4 0
3 years ago
Can someone please answer. There is a picture. There is only one problem. Thank you so much!!!
madam [21]
Hello,

x²/25+y²/9=1

a=5, b=3 c²=a²-b²=25-9=16=4²

Foci are (0,4) and (0,-4)
Answer C
============
3 0
3 years ago
How do you find x for a 45-45-90 triangle
Vladimir79 [104]
In a 45 45 90 triangle, the hypotenuse equals the length of the leg multiplied by the square root of 2.
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which equals <span> <span> <span> 8.48528</span></span></span>...

Source:
http://www.1728.org/trig2.htm



6 0
3 years ago
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