What is the point slope form of Y=1/2X-2

1 answer:

8 0

Point-slope form of a line: We need a point (x₀,y₀) and the slope "m";
y-y₀=m(x-x₀)

We have the next equation of line:
y=1/2 x-2 (slope-intercept form y=mx+b)

the slope of this line is 1/2 (m=1/2)
And any one point could be:
if x=0; then y=1/2 (0)-2=-2 (0,-2)

Therefore, we already have the point (0-,2) and the slope (m=1/2)
y-y₀=m(x-x₀)
y+2=1/2(x-0)

Answer: the point slope form of y=1/2 x-2; would be:
y+2=1/2(x-0)

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el valor del punto px que divide con razon de 1/4 al segmento AB considerando los puntos A (3,1) y D(8,9)

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Answer:

(4, 13/5)

Step-by-step explanation:

Aquí, estamos encontrando el punto que divide el segmento en 1/4

supongamos que tenemos la proporción 1: 4 como a: b

Matemáticamente, el punto que divide el segmento será;

Coordenada x = (bx1 + ax2) / (a + b)

donde (x1, x2) = (3,8)

Al conectar estos valores, tenemos; (4 (3) + 1 (8) / (1+ 4) = (12 + 8) / 5 = 20/5 = 4

Coordenada y = (by1 + ay2) / (a + b) donde (y1, y2) = (1,9)

Conectando estos valores que tenemos; (4 (1) + 1 (9)) / (1 + 4) = (4 + 9) / 5 = 13/5

Por lo tanto, las coordenadas del punto es (4,13 / 5)

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answer is B