Question

Write the equation of a line in slope-intercept form that is parallel to the line y = 3x +2 and passes through the point (5, 2).

Answer 1

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

If lines are parallel then they have the same slope (m)

This means that the slope of the line will be 3

y = 3x + b

Now we must find b

To do that you must plug in the point the line goes through in the x and y of the equation.

(5, 2)

2 = 3(5) + b

2 = 15 + b

-13 = b

y = 3x - 13

Hope this helped!

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