Which equation represents the line that passes through the points (3.7) and (-1.-1)

 or

Step-by-step explanation:

step 1

Find the slope of the line

The formula to calculate the slope between two points is equal to

we have

Substitute the values

step 2

Find the equation of the line into slope point form

we have

substitute

-----> equation of the line into point slope form

-----> equation of the line into slope intercept form

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!