Mathematics, 24.09.2021 14:00 abbygailgo674

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The first equation is in point-slope form, y – y1 = m(x – x1), where m = slope.

y + 3 = -3/4(x + 4)

If we transform this equation into its slope-intercept form, y = mx + b, then it will be:
y + 3 = -3/4(x + 4)
y + 3 – 3 = -3/4x – 3 — 3

y = -3/4 x — 6.

The slope of Line A is -3/4 and the y-intercept is -6.

For Line B, we can find the slope using the formula,
m = (y2 – y1)/(x2 – x1)

Choosing 2 set of ordered pairs from the table:
(-6, 10) and (0, 5)

We can plug in those values into the slope formula:
m = (y2 – y1)/(x2 – x1)
m = (5 – 10)/(0 – (-6)) = -5/6

Therefore, the slope of Line B is -5/6.

In comparing both slopes, the slope of Line A is greater than the slope of Line B. If you convert both fractions into decimals:
-3/4 = -0.75
-5/6 = -0.83

-3/4 > -5/6

Answer from: Quest

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

ver más en -

step-by-step explanation:

Answer from: Quest

It's like discovering the answer to a puzzle. the purpose in solving an equation is to find the value or values of the variable that makes it a true statement. any value of the variable that makes the equation true is called a solution to the equation.

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