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A line is parallel to y = 5x + 3 and
intersects the point (3,9).
What is the equation of this
parallel line?
y = [?]X + [ ]
Hint: Use the Point-Slope Form: y - y1 = m(x – x1)
Then write the equation in slope-intercept form.

Sagot :

Estheridn

Answer:

y = 5x - 6

Step-by-step explanation:

y = 5x + 3

y = 5x + b

9 = 5(3) + b

9 = 15 + b

-15 -15

-6 = b

y = mx + b

y = 5x - 6

Hope this helps!

View image Esther
Sqdancefanidn

Answer:

  y = 5x -6

Step-by-step explanation:

The parallel line will have the same slope. We can rearrange the slope-intercept equation to let us solve for the y-intercept:

  y = mx +b . . . . . . . slope-intercept equation

  b = y - mx . . . . . . . . solved for b

  b = 9 -5(3) = -6

Then the equation of the parallel line is ...

  y = 5x -6

_____

Additional comment

If you use the hint, your point-slope equation is ...

  y -9 = 5(x -3)

  y = 5x -15 +9 . . . . eliminate parentheses, add 9

  y = 5x -6 . . . . . . simplified

View image Sqdancefan
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