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natima [27]
3 years ago
14

Write the equation of the line parallel to y=5x-2 and which contains (1,4)

Mathematics
2 answers:
sasho [114]3 years ago
5 0
The given line has the equation y=5x-2
This line has a slope = 5

since the line we are looking for is parallel to this one, therefore, its slope is also 5

The equation of the linear line has the general form:
y=mx+c where m is the slope and c is the y intercept
we got the slope =5 , therefore, the equation became:
y=5x+c
To get the value of c, we will use a point that bekongs to the line (1,4) and substitute in the form as follows:
y=5x+c
4=5(1)+c
c=4-5=-1

Based in tha above, the equation of the line is:
y=5x-1
Karolina [17]3 years ago
4 0
Y= 5x-1 ; search it up online to make sure
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