Question

Please help me answer this question.

Answer 1

y = -x - 2

Explanation:

put line q into slope-intercept form:

y = -x - 9/5

Now you know the slope that line r must have, -1 (parallel lines have equal slopes)

use the point (-1, -1) to find 'b', or the y-intercept of line r

y = mx + b

-1 = -1(-1) + b

-1 = 1 + b

b = -1+(-1)

b = -2

Answer 2

y=-x-2

Explanation:

Parallel lines have the same slope. In the equation of a line in the form y=mx+b, m is the slope. The equation of line q is 5x+5y=-9 → 5y=-5x-9 → y=-x-(9/5), so the slope (m) is -1.

y=mx+b

y=-x+b

Now sub in the point (-1,-1) to find b:

-1=-(-1)+b

-1=1+b

b=-2

So our equation for r is y=-x-2