Question

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

Answer 1

Answer:

$y = \frac{1}{3} x - 10$

Step-by-step 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 $\frac{1}{3}$.

Susbt. m=$\frac{1}{3}$,

$y = \frac{1}{3} x + c$

To find c, substitute a coordinate.

When x=3, y= -9,

$- 9 = \frac{1}{3} (3) + c$

-9= 1 +c

c= -9-1

c= -10

Thus the equation of line r is $y = \frac{1}{3} x - 10$.