what is the equation of the line that is parallel to the line y=-1/3x+4 and passes through the point(6,5)

y= -1/3x+7

Step-by-step explanation:

Lines that are parallel have the same slope.  Therefore the line of the equation that you are finding has the slope = -1/3 and an unknown value we can call b to create the equation y=-1/3x +b.

Using the point which the line must pass (6,5), we can plug x and y into the unknown equation to solve for b, the y-intercept.


5=-1/3(6)+b

5=-2+b

7=b

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step-by-step explanation:

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