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 $y=\frac{2}{7}x+1$. The slope of this line is $m=\frac{2}{7}$.

The slope of the line parallel to it is also $\frac{2}{7}$.

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 $y=-\frac{1}{2}x+4$. The slope of this line and the line parallel to it is $m=-\frac{1}{2}$

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 $y=x+\frac{4}{5}$ 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 $y=\frac{5}{9}x-\frac{4}{9}$. The slope of the line parallel to this line is $m=\frac{5}{9}$

9. The given equation is $-x+3y=6$. The slope intercept form is $y=\frac{1}{3}x+2$. The line  parallel to this line also has slope$m=\frac{1}{3}$.

10.  Assuming the given line is 6x-7y=10, then $y=\frac{6}{7}x-\frac{10}{7}$ and the line parallel to it has slope $m=\frac{6}{7}$

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 $y=\frac{3}{5}x-\frac{6}{5}$