A laundromat has a wash-and-fold service for a monthly fee of $29.00. The laundromat will wash and fold clothes at $0.69 per pou
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<u>Answer:</u>
1) The equation of the line parallel to x-5y=6 and through (4,-2) is 5y = x -14
2) The equation of the line perpendicular to y= -2/5x + 3 and through (2,-1) is 2y = 5x -12
<u>Solution:</u>
<u><em>1) find the equation of the line parallel to x-5y=6 and through (4,-2).</em></u>
Given, line equation is x – 5y = 6
We have to find the line equation that is parallel to given line and passing through the point (4, -2)
Now, let us find slope of the given line.
Now, we know that, slope of parallel lines are equal.
So, slope of required line is 1/5 and it passes through (4, -2)
Now, using point slope form
Hence, the line equation is 5y = x -14
<u><em> 2) find the equation of the line perpendicular to y= -2/5x + 3 and through (2,-1)</em></u>
We have to find the line equation that is perpendicular to given line and passing through the point (2, -1)
Now, let us find slope of the given line.
Now, we know that, product of slopes of perpendicular lines equals to -1.
So, slope of required line slope of given line = -1
slope of required line =
And it passes through (2, -1)
Now, using point slope form
Hence, the line equation is 2y = 5x -12