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SashulF [63]
3 years ago
5

A line that includes the point (-4, 7) has a slope of 6. What is its equation in point-slope

Mathematics
1 answer:
aalyn [17]3 years ago
7 0
Point slope formula: y-y1=m(x-x1). Answer: y-7=6(x-(-4))
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Halle la ecuación del eje x y la ecuación del eje y, usando dos puntos que se encuentren sobre los mismos.
lisov135 [29]

Una linea recta ( cualquier eje coordenado es una línea recta) queda definida si se conocen dos puntos que están sobre ella.

Solución:

Ecuación del eje x      y = 0

Ecuación del eje y      x = 0

Para darle respuesta a la pregunta podemos seguir el siguiente procedimiento:

  • Escogemos dos puntos arbitrarios sobre el eje x, por ejemplo

P ( 2 ; 0 )  y Q ( 5 ; 0 )         ( todos los puntos sobre el eje x tienen coordenada y = 0.

Según la cual  m = (y₂ - y₁)/ ( x₂ - x₁ )    m = 0

  • Usamos la ecuación pendiente-Intercepto

y = m×x + b         donde m es la pendiente y b el intercepto con el eje y

y entonces tenemos:

  • m = 0    b ( 0 ; 0 )
  • Por sustitución en la ecuación pendiente-intercepto

y = 0

Procediendo de forma similar obtendremos la ecuación del eje y

P´( 0 ; 4 )     Q´( 0 : 8 ) entonces

y = m×x + b

En este caso, la pendiente no es definida ( tang 90° ) y b es de nuevo el punto b ( 0 ; 0).

A partir de  que todos y cada uno de los puntos sobre el eje y son  de valor 0 para x, concluímos que  ecuación del eje y es

x = 0

Enlaces de interés:brainly.com/question/21135669?

8 0
2 years ago
Karen's city took a survey about a plan for a new park. Of the people surveyed, 380 liked the plan for the park and 120 did not.
Law Incorporation [45]

Answer:

76

Step-by-step explanation:

Survey response

Those who liked the proposed plan=380 persons

Those who didn't like the proposed plan=120 persons

We assume that the these are the only people who participated, with those who never took sides being zero

Total number of people surveyed=380 persons+120 persons=500 persons

Percentage of those who liked =\frac {380}{500}*100%=76%

Therefore, the percentage that liked the plan is 76%

6 0
3 years ago
PLEASE HELP PLEASE PLEASE
PolarNik [594]
The answer is b y=-2/(x+3)-4
5 0
3 years ago
Read 2 more answers
If a certain number is increased by 5, one-half of the result is three fifths of the excess of 61 over the number. find the numb
Serggg [28]

Step-by-step explanation:

<h3>Let the number be x </h3><h3>X×5 =1/2 × 3/5 × 61</h3><h3>5X = 18 </h3><h3>X = 18/5 </h3><h3>X =3.3</h3>
4 0
2 years ago
A total of
Temka [501]
The answer will be 141 adults
5 0
3 years ago
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