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Assignment
Line AB goes through the points A (0, -4) and B (6,2). Which equation represents line
y - 4 = 3x
y-2 = 3(x – 6)
y + 4 = x
y + 6 = x - 2

Respuesta :

gmany

Answer:

y + 4 = x

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept → (0, b).

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points A(0, -4) → b = -4 and B(6, 2).

Calculate the slope:

[tex]m=\dfrac{2-(-4)}{6-0}=\dfrac{6}{6}=1[/tex]

Put the value of m and of b to the equation:

[tex]y=1x-4[/tex]         add 4 to both sides

[tex]y+4=x[/tex]