SOLUTION: Determining an Equation of a line; Functions defined by tables and graphs. Write an equation in standard form of the line that has given slope and passes through the given point.

Algebra ->  Graphs -> SOLUTION: Determining an Equation of a line; Functions defined by tables and graphs. Write an equation in standard form of the line that has given slope and passes through the given point.      Log On


   

Question 399250: Determining an Equation of a line; Functions defined by tables and graphs. Write an equation in standard form of the line that has given slope and passes through the given point.
m=- 3/2 : (4, 2)
It has been 20 years since I have done Algebra and my son wants me to correct his work. I have no book to reference for example questions to refresh my memory. (he forgot it.) Any assistance you can provide to get me going in the right direction would be greatly appreciated!! :-) Thank you.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation in standard form of the line that has given slope and passes through the given point.
m=- 3/2 : (4, 2)
:
Use the point/slope form: y - y1 = m(x - x1)
In this problem m =-3/2; x1=4; y1=2
:
y - 2 = -3%2F2(x - 4)
y - 2 = -3%2F2x - -3%2F2(4)
y - 2 = -3%2F2x + 6
y = -3%2F2x + 6 + 2
y = -3%2F2x + 8
Convert to standard (ax + by = c) form; multiply by 2 to get rid of the fraction
2y = -3x + 16
3x + 2y = 16 is the standard form
:
You can check the equation: substitute the given points, 4 for x, and 2 for y,
3(4) + 2(2) = 16