SOLUTION: Write an equation of the line that is parallel to the given line and passes through the given point. 32.)y=2x+2, (3,2)

Algebra ->  Graphs -> SOLUTION: Write an equation of the line that is parallel to the given line and passes through the given point. 32.)y=2x+2, (3,2)      Log On


   



Question 33329This question is from textbook algebra1
: Write an equation of the line that is parallel to the given line and passes through the given point.
32.)y=2x+2, (3,2)
This question is from textbook algebra1

Answer by sarah_adam(201) About Me  (Show Source):
You can put this solution on YOUR website!
y = 2x+2
2x-y-2 =0
The coefficients of x and y in the desired equa­tion are the same as those in the given equation. Therefore, the equation is
2x - y + D = 0 where D = constant
Since the line passes through (3,2), the values x = 3 and y = 2 must satisfy the equation. Substituting these, we have
2(3) - (2) + D = 0
6 - 2 + D = 0
D = - 4
Thus, the required equation is
2x-y- 4 =0