Question and choices are in the photo please explain the answer

A

Step-by-step explanation:

For this question, you want to use y=mx+c, where m is the gradient and c is the y-intercept.

We can see the line passes through (-4, 6) and (-1,2), so we can use those points to work out the gradient.

The formula for gradient is m=.  By substituting the values above, you get m=, which becomes or .

Since we can't exactly determine the y-intercept from the photo, we can sub it in to what we already know to work it out.

Using the point (-4, 6), y=x+c can be written as 6=(-4)+c.

This can be expanded to 6=+c or 6=+c.

Subtracting from both sides gives c=.

Putting this all back in the question, we get y= x+, or A.

**This question involves writing linear equations, which you may want to revise. I'm always happy to help!

the circle graph is not a function.

step-by-step explanation:

the graph of the circle is not a function.

because for a graph to be a function, each value of x must give one value of y

in the circle, the values of x for -2< x< 2 each give 2 values of y.

hence this is not a function.

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!