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output = -1n + 7 or  -n + 7

n can represent any number.

Step-by-step explanation:  using the slope-intercept form y = mx + b

y is the output. x is any input.  m is the slope.  b is the constant.

Calculate the slope:  rise ÷ run  

You see all the inputs in the chart are going up by 1. This is the run +1

You see all the outputs going down by 1.   This is the rise:  -1

So the slope, m,  is rise / run . -1/1 =  -1

To find the constant, use the slope with any pair of inputs and outputs from the chart in place of y and x in the slope-intercept equation.

y = mx + b  becomes   6 = -1(1) + b . Solve for b

6 = -1 + b

6 +1 = -1 +1 + b

7 = b

Now set up the equation that answers the question using the calculated values of m and b.

y = -1(x) + 7 . We can answer the question with this equation rewritten a bit:

Output = -1n + 7

or -n + 7  as 1 is usually implied.

7

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!