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? 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. 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. 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. 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

Answer 1

Answer:

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.

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

$y=mx+b$

In this problem we have

$m=2\\b=-6$

so

$y=2x-6$

To graph a line we nee minimum two points

we have the y-intercept (0,-6)

Using the slope find out the second point

Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

so

From the point (0,-6), count right 1 units and up 2 units

(0+1,-6+2)

(1,-4)

so

Plot the points (0,-6) and (1,-4) and join them to graph the line

therefore

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.