Mathematics, 06.07.2019 23:00 AnonymousLizard52303

Identify the coordinates of four points on the line with given slope is 0.2 and y-intercept is 0.3

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Answer from: rennytheraccoon

Step 1

Find the equation of the line

we know that

the equation of the line in the slope-intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

in this problem we have

$m=0.2\\b=0.3$

substitute the values

y=0.2x+0.3

Step 2

identify the coordinates of four points on the line

we know that

if a point belongs to the line, then the point must satisfy the equation of the line.

Let's assume different values of x and then with the equation we will calculate the value of y

case a) For x=0

Substitute the value of x in the equation and find the value of y

y=0.2*0+0.3=0.3

The point A is (0,0.3)

case b) For x=1

Substitute the value of x in the equation and find the value of y

y=0.2*1+0.3=0.5

The point B is (1,0.5)

case c) For x=-1

Substitute the value of x in the equation and find the value of y

y=0.2*-1+0.3=0.1

The point C is (-1,0.1)

case d) For x=2

Substitute the value of x in the equation and find the value of y

y=0.2*2+0.3=0.7

The point D is (2,0.7)

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

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step-by-step explanation:

Answer from: Quest

answer: im sorry i dont get it

step-by-step explanation:

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Identify the coordinates of four points on the line with given slope is 0.2 and y-intercept is 0.3...

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