princess1112
princess1112 princess1112
  • 01-07-2021
  • Mathematics
contestada

Write the slope intercept form of the equation of each line.
2) The line through the point (4,5), perpendicular to y = 2/3x - 7.

Respuesta :

rococo908
rococo908 rococo908
  • 01-07-2021

Answer:

y = -3/2x + 11

Step-by-step explanation:

If it is perpendicular to the line, it will have a opposite reciprocal slope.

So, the slope will be -3/2.

Plug in the slope and given point into y = mx + b, then solve for b:

y = mx + b

5 = -3/2(4) + b

5 = -6 + b

11 = b

Plug in the slope and b into y = mx + b:

y = mx + b

y = -3/2x + 11

So, the equation is y = -3/2x + 11

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