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Write the equation of a line that passes through (5,4) and is parallel to the line y=2x+1 in slope intercept form.

Sagot :

Answer:

y = 2x - 6

Step-by-step explanation:

Parallel lines have the same slope. You were given y = 2x +1 and  in this equation the slope is 2 because the slope is the coefficient of the x term.

Using the slope = 2 and point (5, 4), solve for the y-intercept "b" in the formula     y = mx + b

  4 = 2(5) + b

  4 = 10 + b

-10 = -10 + b

 -6 =   b

Now write the equation of the line : y = 2x - 6

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