katiegirly1981 katiegirly1981
  • 06-06-2022
  • Mathematics
contestada

Find the equation
of the line
that goes through (-3,4) and
(6,7) in the form of y=mx+b.

Respuesta :

Penguie13580 Penguie13580
  • 06-06-2022

Answer:

y = (1/3)*x + 5

Step-by-step explanation:

Step 1: determine slope or m

m = change in y-coordinates ÷ change in x-coordinates

m = (4-7)/(-3-6) = -3/-9 = 1/3

Step 2: determine y-intercept or b

y = m*x + b

y = (1/3)*x + b

4 = (1/3)*(-3) + b

4 = -1 + b

b = 5

Step 3: substitute values for m and b into the slope intercept equation

y = (1/3)*x + 5

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