Question

Please help!!! 4-9

Graph each equation.

4. x+3y=7

5. 2s-t=4

6. a+b=-3

7. -2x+4y=6

8. m-2n=-2

9. 3/4x-1/4y=8

Answer 1

Each of given equations represent the straight line on the coordinate plane.

To plot each of these lines you should find x and y intercepts and then connect these two points by line.

1. For the equation
`x+3y=7,` when x=0,
`y=(7)/(3)` and when y=0, x=7. You get two points (0,7/3) and (7,0) (see first graph).

2. For the equation
`2s-t=4,` when s=0,
`t=-4` and when t=0, s=2. You get two points (0,-4) and (2,0) (see second graph).

3. For the equation
`a+b=-3,` when a=0,
`b=-3` and when b=0, a=-3. You get two points (0,-3) and (-3,0) (see third graph).

4. For the equation
`-2x+4y=6,` when x=0,
`y=(3)/(2)` and when y=0, x=-3. You get two points (0,3/2) and (-3,0) (see fourth graph).

5. For the equation
`m-2n=-2,` when m=0,
`n=1` and when n=0, m=-2. You get two points (0,1) and (-2,0) (see fifth graph).

6. For the equation
`(3)/(4)x-(1)/(4)y=8,` when x=0,
`y=-32` and when y=0,
`x=(32)/(3).` You get two points (0,-32) and (32/3,0) (see sixth graph).

Note that last two graphs are in the same diagram.