Question

Represent the solution on number line:
1. -5 ≤ ( 2- 3x ) ≤ 7/4
2. 3 / ( x-4) ≥ 0
3. | x- 3 | ≥ 2.​

Answer 1

Answer:

The slope of a parallel line is the same. Need to manipulate that equation to find the slope.

3x-4y=7 Subtract 3x from both sides

-4y=-3x+7 Divide both sides by -4

y=3/4x-7/4

If m=3/4, the parallel line slope is also 3/4. We plug this and the point given into the following equation

(y-y1)=m(x-x1)

(y-(-2))=3/4(x-(-4)) Simplify and use the distributive property

y+2 = 3/4(x+4)

y+2=3/4x+3 Subtract 2 from both sides

y+2-2=3/4x+3-2

y=3/4x+1

You will have to manipulate equations to see which are equal to this. They are all running together, I can't tell which parts go with what.

Step-by-step explanation:

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