dwayneruffin23
dwayneruffin23 dwayneruffin23
  • 25-10-2021
  • Mathematics
contestada

For the equation
y + 2 = 6(x - 5),
the line has a slope of 6 and contains what point?

Respuesta :

renknee
renknee renknee
  • 25-10-2021

Answer:

(5, -2)

Step-by-step explanation:

1. The equation "y + 2 = 6(x - 5)" is in the form of point-slope. Point slope form is [tex]y-y_1=m(x-x_1)[/tex] where y_1 = y-coordinate of point, m = slope, and x_1 = x-coordinate of point.

2. Given the information above, the point (5, -2) and slope of 6 makes the equation y + 2 = 6(x - 5) because:

  • [tex]y - y_1 = m(x-x_1)[/tex]
  • [tex]y - (-2) = 6(x-5)[/tex]
  • [tex]y + 2=6x-5[/tex]

Therefore, the point is (5,-2).

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