The slope of a line is 2. the y-intercept of the line is –6. which statements accurately describe how to graph the function?
a. locate the ordered pair (0, –6). from that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. draw a line through the two points.

b. locate the ordered pair (0, –6). from that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. draw a line through the two points.

c. locate the ordered pair (–6, 0). from that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. draw a line through the two points.

d. locate the ordered pair (–6, 0). from that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. draw a line through the two points.

A is the correct option.

Step-by-step explanation:

The slope of the line is 2 and the y-intercept is -6.

y-intercept is the point where x is zero. Hence, the point is (0,-6)

When we graph a linear function by slope-intercept method, first of all we plot the y-intercept.

Hence, first of all we plot the point (0,-6)

Now, slope is given by

if rise is positive then we move up from the y -intercept and if negative then move down. We keep run always positive and hence we move right from the rise point.

rise = 2

run = 1

Rise is positive hence, we move 2 units up from the point (0,-6) and then move 1 unit right to get the next point. Then we draw a line passing through these points.

A is the correct option.

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!