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Write an equation parallel to y=2x+4 that passes through the point (-2,4)

Answer :

Answer:

Answer: y = 2x + 8

Step-by-step explanation:

• General equation of a line:

[tex] \hookrightarrow \: { \rm{y = mx + b}}[/tex]

  • m is slope / gradient
  • b is y-intercept.

[ for parallel lines, slopes are the same ]

• m is 2

[tex]{ \rm{y = 2x + b}} [/tex]

for point (-2, 4)

[tex]{ \rm{4 = (2 \times - 2) + b}} \\ \\ { \rm{4 = - 4 + b}} \\ \\ { \rm{b = 8}}[/tex]

• therefore, equation is:

[tex]{ \boxed{ \rm{y = 2x + 8}}}[/tex]

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