Question

Answers plz i cant do math

Answer 1

The slope of all parallel lines are equal.

The slope of a line in the form
`y=mx+c` is m.

1. The given equation is:
`y=4x+2`. The slope of this line is
`m=4`. The slope of the line parallel to this line is also 4.

2. The given equation is
`y=(2)/(7)x+1`. The slope of this line is
`m=(2)/(7)`.

The slope of the line parallel to it is also
`(2)/(7)`.

3. The next equation is
`y+9x=13`. The slope intercept form is
`y=-9x+13`.

The slope of this is
`m=-13`. The line parallel to it also has slope which is -13.

4. The given equation is
`y=-(1)/(2)x+4`. The slope of this line and the line parallel to it is
`m=-(1)/(2)`

5. The equation is 6x+2y=4. We simplify to get: 3x+y=2.

The slope-intercept form is
`y=-3x+2`. The line parallel to this line has slope
`m=-3`

6. Assuming the line is
`y=-3x+9`, then the slope is
`m=-3`

7. Assuming the line is
`-5x+5y=4`, then the slope-intercept form is
`y=x+(4)/(5)` and the slope of the line parallel to this line is m=1

8. The equation is 9x-5y=4. The slope intercept form is
`y=(5)/(9)x-(4)/(9)`. The slope of the line parallel to this line is
`m=(5)/(9)`

9. The given equation is
`-x+3y=6`. The slope intercept form is
`y=(1)/(3)x+2`. The line parallel to this line also has slope
`m=(1)/(3)`.

10. Assuming the given line is 6x-7y=10, then
`y=(6)/(7)x-(10)/(7)` and the line parallel to it has slope
`m=(6)/(7)`

11. Assuming the line is
`y-x=-3`, then
`y=x-3` and the slope of the line parallel to it is
`m=1`

12. The given line is 3x-5y=6. This implies that
`y=(3)/(5)x-(6)/(5)`