SOLUTION: a) Identify the x and y intercepts for the given linear equation ((x-2y))/3-12=((2x+4y))/3 b) Plot the graph for the given linear equation. 6x+3y=-36 Compute the slo

Algebra ->  Linear-equations -> SOLUTION: a) Identify the x and y intercepts for the given linear equation ((x-2y))/3-12=((2x+4y))/3 b) Plot the graph for the given linear equation. 6x+3y=-36 Compute the slo      Log On


   



Question 1164646: a) Identify the x and y intercepts for the given linear equation
((x-2y))/3-12=((2x+4y))/3
b) Plot the graph for the given linear equation.
6x+3y=-36
Compute the slope of the line segment connecting the points (-4 , 20) and (-4 , 30).

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


x-intercept, (a,0). Set y=0 and solve for a.

y-intercept, (0,b). Set x=0 and solve for b.

a) %28%28x-2y%29%29%2F3-12=%28%282x%2B4y%29%29%2F3

x-intercept, (a,0).

a%2F3-12=2a%2F3
Solve for a.

y-intercept, (0,b).

-2b%2F3-12=4b%2F3
Solve for b.

b) 6x%2B3y=-36

x-intercept, (a,0).

6a+=+-36
Solve for a.

y-intercept, (0,b)

3b+=+-36
Solve for b.

c) The two x-coordinates are the same; the y-coordinates are different. The line is vertical; its slope is undefined.

NOTE: Don't say "no slope" -- that makes it sound as if the slope is 0.