onajereid onajereid
  • 20-09-2021
  • Mathematics
contestada

the equation of the line that is parallel
to 4x+2 and passing through (5,15)

Respuesta :

evgeniylevi
evgeniylevi evgeniylevi
  • 20-09-2021

Answer:

y=4x-5.

Step-by-step explanation:

slop-interception form of the required line is y=kx+b, where k - slop, b - intercept;

1) to find value of k:

if the required line is parallel to the given line, then slop of the given line = slop of the required line, it means k=4 and the required line is y=4x+b;

2) to find the value of 'b':

if to substitute the given coordinates into the equation of the given line, then:

15=4*5+b, b= -5.

3) finally, y=4x-5

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