Question
Mathematics
Math
Graph the line with the equation .
Graph the line with the equation
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Best Answer
To graph the line with the equation , we can use the slopeintercept form of a line where the equation is written as , where is the slope, and is the yintercept.
In this case, the slope and the yintercept , so we can start by plotting the point on the yaxis:
In this case, the slope






. (0,3)






Then, from that point, we can use the slope of 3 to find another point. This means that for every 1 unit we move to the right, we move up by 3 units. So from the point , we can move right 1 unit and up 3 units to get the point :





. (1,0)







We can continue this pattern by moving right 1 unit and up 3 units from the point to get the point :




. (2,3)










We can also move left 1 unit and down 3 units from the point to get the point :


. (1,6)












We can continue this pattern as far as we want on both sides of the yaxis:


. (2,9)







. (0,3) 
. (2,3)



. (1,0)




Finally, we can connect the points with a straight line to get the graph of the line :


.

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