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olga2289 [7]
3 years ago
6

Write the equation of a line parallel to the line y=5x+2 that goes through the point (-4, 3).

Mathematics
1 answer:
almond37 [142]3 years ago
5 0

Answer:

a line parallel to the line y = 5x + 2 ---> y' = 5x + b (b ≠ 2)

y' = 5x + b goes through (-4, 3) ---> 3 = 5 × ( -4 ) + b ---> b = 23

⇒ y' = 5x + 23

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Answer:

<h2>4(5x + 6)</h2>

Step-by-step explanation:

5(6x+4)-2(5x-2)\qquad\text{use distributive property}\ a(b+c)=ab+ac\\\\=(5)(6x)+(5)(4)+(-2)(5x)+(-2)(-2)\\\\=30x+20-10x+4\qquad\text{combine like terms}\\\\=(30x-10x)+(20+4)\\\\=20x+24

20x=4\cdot5x\\\\24=4\cdot6\\\\20x+24=4(5x+6)

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