Graph y = x, y = 2x, and y = 3x in the same coordinate plane. How are the graphs alike? How are they different? Compare the slopes

Answer:all the three graphs passes through the origin (0,0)the slope of the lines are different.for y=x equation , slope =1for y=2x equation slope = 2for y=3x equation slope = 3Step-by-step explanation:LEts graph all the three equationsy=x , y=2x, y= 3xMake a table for each equation and find two pointsx           y=x                            x        y= 2x                          x       y=3x0           0                               0         0                                0        01            1                                 1            2                               1          3Graph is attached belowFrom the graph we can see that , all the three graphs passes through the origin (0,0)From the graph we can see that the steepness of the line changes for each line. steepness of the line is noting but the slope . So the slope of the lines are different.Given equation is in the form of y=mx+bm is the slopefor y=x equation , slope =1for y=2x equation slope = 2for y=3x equation slope = 3