What is the slope-intercept equation of this line?

A. y=-2x + 8

Step-by-step explanation:

The slope-intercept formula is written as y=mx+b, where m is the slope and b is the y-intercept.

b can be easily found on the graph, as the point (0,8) is where the line crosses the y-axis, so b=8.

The slope can be found using the slope formula:

We can take either points as the first, and we'll reach this result.

This means that the slope is -2 and the y-intercept is 8

So the final equation is choice (a.)

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!