hoangnhan170506 hoangnhan170506
  • 22-10-2021
  • Mathematics
contestada

1. Write the equation in slope intercept form that represents the line that passes through (-4, -3) and (-2, 1)?

Respuesta :

emergenitro emergenitro
  • 22-10-2021

Answer:

y = 2x + 5

Step-by-step explanation:

Finding the slope:

[tex]\frac{y2-y1}{x2-x1}\\[/tex]

= (1-(-3))/(-2-(-4))

= (1+3)/(-2+4)

= 4/2

= 2

Slope: 2

Substituting the slope into the formula 'y=mx+c':

y = 2x+c

Substituting any point (in this case, (-2,1)):

1 = 2(-2) + c

1 = -4 + c

c = 1 + 4

c = 5

Hence,

y = 2x + 5

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