SOLUTION: Find an equation of the line through (-6, 10), parallel to the line with equation 3x – 7y = 14. Write the new equation in point-slope form. Show all work.
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-> SOLUTION: Find an equation of the line through (-6, 10), parallel to the line with equation 3x – 7y = 14. Write the new equation in point-slope form. Show all work.
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Question 1002363: Find an equation of the line through (-6, 10), parallel to the line with equation 3x – 7y = 14. Write the new equation in point-slope form. Show all work. Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website! Hi there,
3x - 7y = 14
Sort into y = mx + c form
-7y = -3x + 14
7y = 3x - 14
y = 3/7x - 2
Gradient = 3/7
Lines that are parallel have
the same gradient.
m1 = m2
Using Line Equation:
y - b = m(x - a)
with m = 3/7 and (a,b) = (-6, 10)
y - 10 = 3/7(x -(-6))
y - 10 = 3/7(x + 6)
y - 10 = 3/7x + 18/7
y = 3/7x + 18/7 + 70/7 (10)
y = 3/7x + 88/7
Multiply through by 7
7y = 3x + 88
Hope this helps :-)
