Question

The equation of line q is y = 1/3x-7Parallel to line q is liner, which passes through the

point (3, -9). What is the equation of liner?

Answer 1

`y = (1)/(3) x - 10`

Explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient. Hence the gradient of line r is
`(1)/(3)`.

Susbt. m=
`(1)/(3)`,

`y = (1)/(3) x + c`

To find c, substitute a coordinate.

When x=3, y= -9,

`- 9 = (1)/(3) (3) + c`

-9= 1 +c

c= -9-1

c= -10

Thus the equation of line r is
`y = (1)/(3) x - 10`.