Question

What is the equation of the line that is parallel to the given line and passed through point (-4,6)? X=-6 x=-4 y=-6 y=-4

Answer 1

3rd Option is correct that is y = - 6.

Explanation:

Given:

Points on the given line: ( -8 , 4 ) and ( 8 , 4 )

To find: Equation of line passing through ( -4 , -6 ) and parallel to given line.

We find the equation of the line using Slope-Point form.

Both line are parallel means Slope of both lines are equal.

Slope of the Required line, m = Slope of given line

=
`(y_2-y_1)/(x_2-x_1)`

=
`(4-4)/(-8-8)`

=
`0`

So, the equation of line

`y-y_1=m(x-x_1)`

`y-(-6)=0(x-(-4))`

`y+6=0`

y = - 6

Therefore, 3rd Option is correct that is y = - 6.