Which ordered pair is a solution of the equation y = –9x + 4? i don't want the answer, i just don't know how to solve it. i'm two weeks behind in work so anything !

Hello mate!

we have the equation y = –9x + 4 and we want to find ordered a pair that is a solution of the equation.  Where a pair has the form (x, y)

First, you need to know that there are infinite ordered pairs that are a solution of this equation, if you want to find them, you need to replace the value of x (or the value of y) with a number, and solve the equation:

suppose x = 1

then y = -9*1 + 4 = -9 + 4 = 5

then the pair (1,5) is a solution of the equation.

The general form of the pairs is (x,y), then the pairs that are a solution for this equation are the pairs of the form (x, y(x)) = (x, -9x + 4)

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is