Write the equation of the line that passes through the given points. (0, - 4) and (6,3)

Mathematics

1 answer:

Alenkinab [10]2 years ago

8 0

Answer:

y= (7/6) x + (-14/3)

Step-by-step explanation:

m= (3-(-4))/6-0 =7/6

y = 7/6 x + b

when y=0, x= -4,

0 = 7/6 (-4) + b,

b= -28/6 = -14/3

the equation is : y= (7/6) x . + (-14/3)

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2 years ago

What 2 numbers multiply to be -14 and add to be -3

Svetach [21]

Xy = -14
x + y = -3

$xy = -14$
$\frac{xy}{x} = \frac{-14}{x}$
$y = \frac{-14}{x}$

$x + y = -3$
$x + \frac{-14}{x} = -3$
$\frac{x^{2}}{x} + \frac{-14}{x} = -3$
$\frac{x^{2} - 14}{x} = -3$
$x^{2} - 14 = -3x$
$x^{2} + 3x - 14 = 0$
$x = \frac{-(3) \± \sqrt{(3)^{2} - 4(1)(-14)}}{2(1)}$
$x = \frac{-3 \± \sqrt{9 + 56}}{2}$
$x = \frac{-3 \± \sqrt{65}}{2}$
$x = \frac{-3 \± 8.06}{2}$
$x = -1.5 \± 4.03$
$x = -1.5 + 4.03$ $or$ $x = -1.5 - 4.03$
$x = 2.53$ $or$ $x = -5.53$

  x + y = -3
2.53 + y = -3
- 2.53 - 2.53
  y = -5.53
  (x, y) = (2.53, -5.53)

x + y = -3
  -5.53 + y = -3
+ 5.53   + 5.53
  y = 2.53
  (x, y) = (-5.53, 2.53)

The two numbers that multiply to -14 and add up to -3 are -5.53 and 2.53.

8 0

2 years ago

Which one is proportional? Im a little confused lol

Kobotan [32]

Answer:

y = x + 4

——————-

4 0

1 year ago

2/3 / (-9/4)<br><br> 2/3 divided by (-9/4)

Bezzdna [24]

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$\frac{2}{3} \div ( - \frac{9}{4} ) = \\$