Write an equation of the line that passes through (1,2) and is parallel to the line y=-5x+4

Mathematics

1 answer:

valentinak56 [21]2 years ago

7 0

Answer:

The equation of the Parallel line to the given line is 5x+y-7=0

Step-by-step explanation:

Explanation:-

Given that the line y = - 5x+4 and point (1,2)

The equation of the Parallel line to the given line is ax+by+k=0

Given straight line 5x + y -4 =0

The equation of the Parallel line to the given line is 5x+y+k=0

This line passes through the point (1,2)

5x+y+k=0

5(1)+2+k=0

⇒ 7+k=0

k =-7

Final answer:-

The equation of the Parallel line to the given line is 5x+y-7=0

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