SOLUTION: A line passes through the point (x,y) = (-5,2) and has a slope of -3.  Write an equation for this line

Algebra ->  Linear-equations -> SOLUTION: A line passes through the point (x,y) = (-5,2) and has a slope of -3.  Write an equation for this line      Log On


   

Question 249800: A line passes through the point (x,y) = (-5,2) and has a slope of -3.  Write an equation for this line
Answer by mathhub(11) About Me  (Show Source):
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The given point is (-5, 2). The given slope of the equation is -3.
The generic equation of a straight line formed out of a point and slope is
y+=+m%2Ax+%2B+c, where m is the slope and c is the constant.

y+=+m%2Ax+%2B+c
=>y+=+-3%2Ax+%2B+c
To calculate the value of c, let us substitute the value of x and y from the coordinates of the given point in the equation.
=>y+=+-3%2Ax+%2B+c
=>2+=+%28-3%29%2A%28-5%29+%2B+c
=>2+=+15+%2B+c
=>2+-+15+=+c
=> c = -13
Thus the equation of the line is y = -3x - 13