Line M is represented by the following equation: x + y = -1
What is most likely the equation for line P so the set of equations has infinitely many solutions?

Step-by-step explanation:

The Slope-Intercept form of the equation of the line is:

Where "m" is the slope and "b" is the y-intercept.

When you have a System of Linear equations and the lines are exactly the same line, you can identify that the System has Infinitely many solutions.

In this case, you know that the Line M is represented by the following equation:

Solving for "y" , you get:

You can identify that:

Therefore, to the set of equations has infinitely many solutions, the Line M and the Line P must be exactly the same.

Then, you can determine that the Line P is represented by the following equation:

what is the graph

step-by-step explanation:

la parábola es el lugar

geométrico en el cual los puntos tienen una distancia idéntica, equidistantes,

de un punto denominado foco, f, y una recta denominada directriz

el radio vector de una

parábola es el segmento que existe entre un punto cualquiera y el foco.

por la ecuación se observa

que la parábola abre hacia la derecha, por lo cual podemos usar las siguientes fórmulas

la ecuación ordinaria de la

parábola es y^2 = 4px, donde p es la longitud desde el vértice de la parábola al

foco.

la fórmula de la directriz

es x + p = 0

resolviendo:

y^2-9x = 0

y^2 = 9x

4p = 9, entonces p = 9/4

entonces el foco tendrá la

coordenada f(9/4,0)

la directriz vendrá

expresada por

x + p = 0

x = -p

x = -9/4

el problema indica que la

ordenada es igual a 6, entonces

(6)^2=9x

x = 36/9

x = 4

entonces el punto al cual

hay que obtener la distancia será p(4,6)

calculando se tendrá: pf = 

pf = 6,25 u

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step-by-step explanation: