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Rom4ik [11]
3 years ago
15

Write an equation of a line that passes through the point (8, 4) and is parallel to the line y = 4x + 2.

Mathematics
2 answers:
IRINA_888 [86]3 years ago
8 0
y = 4x - 28 is the equation of a line that passes through the point (8, 4) and is parallel to the line y = 4x + 2. 
NemiM [27]3 years ago
4 0
-----------------------------------------------------------
Find Slope :
-----------------------------------------------------------
y = 4x + 2
Slope = 4
Slope of the Parallel line = 4

-----------------------------------------------------------
Substitute slope = 4 :
-----------------------------------------------------------
y = mx + b 
y = 4x +b

-----------------------------------------------------------
Find y-intercept :
-----------------------------------------------------------
y = 4x + b 
At point (8, 4), x = 8 when y = 4
4 = 4(8) + b
4 + 32 + b
b = 4 - 32
b = -28

-----------------------------------------------------------
Substitute y-intercept into the equation :
-----------------------------------------------------------
y = 4x - 28

-----------------------------------------------------------
Answer : y = 4x - 28 (Answer A)
-----------------------------------------------------------
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