Find the equation of the linear function represented by the table below in slope intercept form

the slope is "1"

the y-intercept is "5"

y = x + 5

Step-by-step explanation:

In order to find the slope, we use the slope formula with any pair of points, for example: (1, 6) and (3, 8):

slope = (y2-y1) / (x2 - x1)

in our case:

slope = (8 - 6) / (3 - 1) = 2/2 = 1

then the slope is "1".

Now we write the general "slope-intercept" equation of a line using the slope we found:

y = m x + b

y = 1 x + b

and now use one of the points (for example (3, 8) to find the intercept "b":

(8) = 1 (3) + b

8 - 3 = b

b = 5 (y intercept)

Then the equation of the line can be written as:

y = x + 5

the answer is 45 i just did it on oddesy ware

{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