Compare the function ƒ(x) = 3x − 1 2 to the function shown in the graph. Which statements are correct? A) The function ƒ(x) = 3x − 1 2 and the graphed function have the same slope.
B) The graphed function has a lesser rate of change than the function ƒ(x) = 3x − 1 2 . C) The function ƒ(x) = 3x − 1 2 has a lesser rate of change than the graphed function. D) The graphed function has a y-intercept with a lesser value than the function ƒ(x) = 3x − 1 2 . E) The function ƒ(x) = 3x − 1 2 has a x-intercept with a lesser value than the graphed function.

2

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