SOLUTION: (1)Write the equation of the line that satisfies the given conditions. Expressthe final equation in standard form. Contains the point (-3, 7) and is parallel to the y-axis. (2)W

Algebra ->  Graphs -> SOLUTION: (1)Write the equation of the line that satisfies the given conditions. Expressthe final equation in standard form. Contains the point (-3, 7) and is parallel to the y-axis. (2)W      Log On


   



Question 72470: (1)Write the equation of the line that satisfies the given conditions. Expressthe final equation in standard form. Contains the point (-3, 7) and is parallel to the y-axis.
(2)Write the equation of the line that satisfies the given conditions. Expressthe final equation in standard form. Contains the origin and is parallel to the line 2x-9y=-1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a) any line parallel to the y axis will be in the form of x=... (notice there's no y value). Since the point contains x=-3, the line's equation is x=-3.


b)First solve for y
cross%282x-2x%29-9y=-1-2xSubtract 2x from both sides
-9y=-1-2xdivide both sides by -9
y=1%2F9%2B2%2F9x So the slope is 2/9 and the y-intercept is 1/9. Parallel lines have the same slope, so the slope of our unknown equation is m=1/9. Since the line is going through the origin (0,0) our y-intercept will be zero (b=0). So our equation is
y=1%2F9x%2B0 or
y=1%2F9x