Question

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Answer 1

Answer:

$y = \dfrac{1}{3}x + 1$

Step-by-step explanation:

The given line is in slope-intercept form,

y = mx + b,

where m is the slope.

The slope of the given line is 1/3, so m = 1/3.

Parallel lines have equal slopes, so the slope of the parallel line is also 1/3.

y = 1/3 x + b

Now we can find the equation of the parallel line through point (6, 3) by using the given point's coordinates for x and y and solving for b.

3 = (1/3)(6) + b

3 = 2 + b

b = 1

Equation: $y = \dfrac{1}{3}x + 1$

Answer 2

Answer:

y = 1/3x + 1

Step-by-step explanation:

So the original equation is y = 1/3x - 1

We keep the slope the same and change the y-intercept

To find the y-intercept (b) and it has to pass through point (6,3)

So we take  y = -1/3x + b and substitute the y and x for (6,3)

3 = 1/3(6) + b

3 = 2 + b

1 = b

Final equation.  y = 1/3x + 1