A line passing through the points (6,-2) and (-2,4). Complete the work shown
1 answer:
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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
In this problem we have
so
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.