Question

Can someone please help me with this question?

Answer 1

Answer:

y = -x - 2

Explanation:

If line r is parallel to line q, they will have the same slope.

Rearrange line q to isolate “y”, which will give you line r in slope-intercept form: y = mx + b, where m is the slope.

5x + 5y = -9

5y = -5x - 9

$y = -x-\frac{9}{5}$

m = -1

Use point-slope form:

$y-y_{1} = m(x-x_{1})$

Substitute the slope m = 1 and the point on line q, (-1, -1).

y - (-1) = -1(x - (-1))

y + 1 = -(x + 1)

y + 1 = -x - 1

y = -x -2

Therefore, the equation of line r is y = -x - 2.