SOLUTION: Please help. Thank you Write the slope-intercept equation for the line that passes through (14, -2) and is perpendicular to 7x – 10y = 18 Please show all of your work

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Question 427073: Please help. Thank you
Write the slope-intercept equation for the line that passes through (14, -2) and is perpendicular to 7x – 10y = 18 Please show all of your work

Answer by Gogonati(855)   (Show Source): You can put this solution on YOUR website!
Solution:First we find the slope of 7x-10y=18 => -10y=18-7x =>
From the last equation we see the slope is . As we know the perpendicular lines have negative reciprocal slopes, thus the slope of our line is , and the equation of our line that passes at (14,-2) is given:
, simplify this equation:
7y+14=-10x+140 => 7y=-10x+126 =>
Answer: The slope-intercept equation is:

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