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If a line has a slope of -3 and goes through the point (-4, 10), then the equation for the line in slope-intercept form is ______________.


a.)

y = 3x - 26


b.)

y = 3x + 2


c.)

y = -3x - 2


d.)

y = -3x + 26


Sagot :

Answer:

c.) y = -3x - 2

Explanation:

Given following:

  • slope (m): -3
  • pass point: (-4, 10)

Equation:

[tex]\sf y - y_1 = m(x - x_1)[/tex]

[tex]\sf y - 10 = -3(x - (-4))[/tex]

[tex]\sf y - 10 = -3(x + 4)[/tex]

[tex]\sf y = -3x -12 + 10[/tex]

[tex]\sf y = -3x -2[/tex]