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Sagot :
Answer:
[tex] y = \dfrac{1}{3}x + 1 [/tex]
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: [tex] y = \dfrac{1}{3}x + 1 [/tex]
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
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