roshotxl roshotxl
  • 18-09-2021
  • Mathematics
contestada

what is an equation of the line that passes through the points(-4,-5) and (-3,-2)

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 20-09-2021

Step-by-step explanation:

normal line equation

y = ax + b

the 2 given points give us 2 equations with 2 variables a, b.

we solve that for the general line equation.

-5 = a×-4 + b

-2 = a×-3 + b

subtract equation 2 from equation 1

-3 = a×-1 + 0

-3 = -a

a = 3

-2 = 3×-3 + b = -9 + b

b = 7

so, the line equation is

y = 3x + 7

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