Write the slope-intercept inequality for the graph below.

y <= -3x + 3

Explanation: The slope of the boundary line is -3 because we go down 3 over 1 each time we go from point to point. We can use the slope formula to get

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

m = (-3-3)/(2-0)

m = -6/2

m = -3

The y intercept is 3 because this is the location on the y axis where the graph crosses, so b = 3

Therefore the boundary line equation is y = -3x+3. Note how it's in the form y = mx+b where m = -3 and b = 3

The boundary line is solid. The shading is below the boundary line. So we change the equal sign to a "less than or equal to" sign to get the final answer of y <= -3x+3

Step-by-step explanation: Hope I helped can i have a brain list

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step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3