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Write the equation of the line that passes through (-1,8) and is parallel to the graph of y = 4x - 2

Sagot :

Answer:

When a line is parallel to another line, they have the same slope. So far the equation would be, y=4x+b. To find the value of b, substitute the given point into the equation.

8=4(-1)+b

8=-4+b

b=12

So, the equation of the line is y=4x+12.

:)

y=4x-2

  • m=4
  • Parallel lines have equal slope
  • Pt(-1,8)

Equation of line in point slope form

[tex]\ \ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\ \ \sf\longmapsto y-8=4(x+1)[/tex]

[tex]\ \ \sf\longmapsto y-8=4x+4[/tex]

[tex]\ \ \sf\longmapsto 4x-y+12=0[/tex]

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