Question

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?

Answer 1

The general equation of the line is;
y=mx+c
The specific line is;
y=2x-6

Answer 2

A.

Explanation:

The choices for this question are

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.

The right answer is A, because if the slope is positive and the interception is at y=-6, then it won't make sense to draw another upper point to the left, because points on the left are lower than y=-6.

We can get this answer by using the equation of this line

`y=2x-6`

The second point described is located at (1,-4), so, let's replace x=1 and see if satisfy the linear expression

`y=2(1)-6=2-6=-4`

As you can observe, the point satisfies the linear relation.

Therefore, the right answer is A.