Question

Write an equation for the line parallel to the given line that contains C.

Cleft parenthesis 3 comma 6 right parenthesis​; y equals negative 4 x plus 5

Answer 1

`y= - 4x + 18`

Step-by-step explanation

The given line has equation;

`y = - 4x + 5`

The slope of this line is

-4

The given line is parallel to this line so it has the same slope:

`m = - 4`

The equation of this line is in the form:

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

We substitute the slope and the point:

(3,6)

`y-6= - 4(x-3)`

`y= - 4x + 12+ 6`

`y= - 4x + 18`