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A railroad construction team wants to calculate an equation to ensure they set a second railroad track parallel to the first. The equation
that describes the first railroad track is y = 3z 9. The second railroad track goes through the point (2,9).
What is the equation, in slope-intercept form, of the second railroad track?

Respuesta :

Then the linear equation for the second railroad track is:

y = 3*x + 3

What is the equation, in slope-intercept form, of the second railroad track?

We know that the equation will be parallel to the line:

y = 3x + 9

Remember that two lines are parallel if the lines have the same slope, then the other linear equation is something like:

y = 3x + b

To find the value of b we use the fact that the line passes through (2, 9), this means that:

9 = 3*2 + b

9 - 6 = b

3 = b

Then the linear equation for the second railroad track is:

y = 3*x + 3

If you want to learn more about linear equations:

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