Question

IXL Please Help Fast!

Answer 1

Suppose that the equations of line
`C` and
`D` are as follows;

• 
  `C=a_(1)x+b{_1}y+c_(1)`
• 
  `D=a_(2)x+b_(2)y+c_(2)`

If these two lines are parallel to each other, the following equality must be satisfied.

• 
  `(a_(1))/(b_(1)) =(a_(2))/(b_(2))\\eq (c_(1))/(c_(2))`

In summary, the slope of the two lines must be equal to each other.

• 
  `m_(C)=m_(D)`

We know the equation of line
`C`. Then let us form the equation of line
`D`.

• 
  `C=x+7y-14`
• 
  `D=x+7y+c_(1)`

We must find the variable
`c_(1)` by placing the given point
`(-3,-1).`

• 
  `-3+7(-1)+c_(1)=0`
• 
  `c_(1)=10`

If we write it in slope-intercept form, the correct answer will be as follows;

• 
  `y=-(x)/(7) -(10)/(7)`