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finding the equation

a line passes through point (3,7) the slope is -4 what is the equation

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Ye Hong K. | Experienced Singapore senior high school lecturerExperienced Singapore senior high school...
5.0 5.0 (1 lesson ratings) (1)
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Hi,
 
To find the equation of a linear line, you could use the formula
y - y1 = m (x - x1), 
where (x1,y1) is a point on the line and m is the gradient of the line.
 
For this question, the point is (3, 7) and the gradient is -4.
 
So,
y - 7 = -4(x-3)
 
Simplifying this, you will get:
 
y = -4x +19
 
Hope this helps.
 
Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
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 Line Equation in General:
 
      Y = mx + b
 
     For this problem:
 
      Y = -4X + b
 
       Passes through ( 3,7)
 
      7 = -4 (3) +b
 
        b = 7 +12 = 19
 
        Y = -4X + 19