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Sagot :
Answer:
y = 3x-13
Step-by-step explanation:
For parallel lines, their slopes/gradients of the line are equal.
Given the parallel line, y = 3x+7 implies the slope say m1 = 3.
Hence, the slope of the new line say m2 should be 3 too.
Now, substitute the point (4,-1) into the general formula y-y1 = m2 (X-X1)
This implies, y - (-1) = 3 (X-4) = 3X-12
y + 1 = 3X - 12. Subtract 1 from both sides gives y = 3x - 13
Therefore, the equation of the new parallel line is y = 3x - 13
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