6x - 3y - 1 = 5
Subtract 6x from each side:
-3y - 1 = -6x + 5
Add 1 to each side:
-3y = -6x + 6
Divide each side by -3 :
y = 2x - 2
Draw a straight line, with a slope of 2, through the point [ y = -2 ] on the y-axis.
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If x equals a constant number, the graph will be a vertical line. For example, the graph of x = 5 would be a vertical line that goes through the point (5,0). x equals 5 on every point along this lines.
0 5 /--------------/-----•------/
It is a horizontal line 5 units above the x-axis.
That line is horizontal on the graph. Its slope is zero.
The figures are exactly the same, but every point on the first graph is exactly 13 below the corresponding point on the second one.