SOLUTION: If someone can please help me with these problems.I have answered them and want to know if my answers are correct if not how can I successfully answer these questions right......

Question 149449: If someone can please help me with these problems.I have answered them and want to know if my answers are correct if not how can I successfully answer these questions right......

1)s/6-2/9=0

The answer I came up with is 1/3 is this correct?

2)Solve -43 less than 20 -9v less than or greater to -7
The answer I came up with is (1,7]is this correct?
3)Complete the ordered pair so that it satifies the given equation.
2x-5y=-12:(-1, )
the answer I came up with is (-1,4) is this correct?
4)Find the x and y intercepts of 7x-2y=-5
5)Find the slope of the line that contains the points (-4,-2) and (1,1)
Found 2 solutions by jim_thompson5910, Fombitz:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Multiply both sides by the LCD 18 to clear out the fractions.

Distribute and multiply.

Add to both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

----------------------------------------------------------------------

Answer:

So the answer is

Which approximates to

2)

Start with the given compound inequality.

Subtract from all sides.

Combine like terms on the left side.

Combine like terms on the right side.

Divide all sides by -9. Note: dividing all sides of the inequality will flip the signs

Reduce.

Rearrange the inequality.
So the answer in interval notation is [)

Also, the answer in set-builder notation is

Here's the graph of the solution set

Graph of the solution set

Note:
There is a closed circle at which means that we're including this value in the solution set
Also, there is an open circle at which means that we're excluding this value from the solution set.

3)

Start with the given equation.

Plug in .

Multiply.

Add to both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

So the ordered pair is (-1,2)

Note: you can plug in the numbers x=-1 and y=2 into the equation to check your answer.

4)

Start with the given equation

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
Plug in

Simplify

Divide both sides by 7

So the x-intercept is (note: the x-intercept will always have a y-coordinate equal to zero)

------------------

Start with the given equation

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
Plug in

Simplify

Divide both sides by -2

Reduce

So the y-intercept is (note: the y-intercept will always have a x-coordinate equal to zero)

------------------------------------------

So we have these intercepts:
x-intercept:

y-intercept:

5)

Start with the slope formula.

Plug in , , , , ,

Subtract from to get

Subtract from to get

So the slope of the line that goes through the points and is

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.

2. Don't understand this one, "less than or greater to"?
It has to be one of the following:
Less than
Less than or equal
Equal to
Greater than
Greater than or equal to
3.

(1,-2)
4. Find the x and y intercepts of 7x-2y=-5
Y intercept. Set x=0. Solve for y.

Y intercept:(0,2.5)
.
.
.
X intercept. Set y=0. Solve for x.

X intercept:(-.71,0)
.
.
.

5. The slope of a line is given by the formula,

(-4,-2) and (1,1)

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