A line has this equation y=5x-1 write an equation for the parallel line that goes through(10,-1)

Mathematics

1 answer:

timurjin [86]2 years ago

5 0

y =5x - 1

the slope of the line is m = 5

for parallel lines the slope remains the same

so the equation of the line that is parallel to y = 5x - 1 and passing through

(10, -1) is,

y - (-1) = m(x - 10)

put m = 5

y + 1 = 5(x - 10)

y + 1 = 5x - 50

y = 5x - 51

sot the answer is y = 5x - 51

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The solution to the equation system given is:

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First, we must know the equations given:

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Now we solve using the determinants:

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Now, we can find the answer which is x= 2 and y= -1, we can replace these values in the equation to confirm the results are right, with the first equation: