Enter the equation of the line in slope-intercept form.

Slope is -2/5, and (-9,2) is on the line.

y = (-2/5)x - 8/5

Step-by-step explanation:

Start with the slope-intercept form y = mx + b.

Replace m with -2/5, y with 2 and x with -9:

2 = (-2/5)(-9) + b

Simplifying this, we get:

2 = 18/5 + b, or 10/5 = 18/5 + b

Subtracting 18/5 from both sides yields  b = -8/5, and  so

the desired equation is

y = (-2/5)x - 8/5

answer: okw

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1