SOLUTION: Write a system of equations and solve: The line with equation y+ax=c, passes through the points (1,5) and (3,1). Find a and c.

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: Write a system of equations and solve: The line with equation y+ax=c, passes through the points (1,5) and (3,1). Find a and c.       Log On


   



Question 777166: Write a system of equations and solve:
The line with equation y+ax=c, passes through the points (1,5) and (3,1). Find a and c.

Answer by lwsshak3(11628) About Me  (Show Source):
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Write a system of equations and solve:
The line with equation y+ax=c, passes through the points (1,5) and (3,1). Find a and c.
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equation of a line: y=mx+b, m=slope, b=y-intercept
y=-ax+c
slope,a=∆y/∆x=(1-5)/(3-1)=-4/2=-2
equation:y=-2x+c
solve for c using coordinates of one of given points (1,5)
5=-2+c
c=7
equation: y=-2x+7