Since there are no powers of x or y or trigonometric functions or anything like that, you know that the graph is a straight line. So two points on the line is all that you need.
Step 1:
Let x = 0
and find y from the equation: y = -0 + 3 = 3
so one point on the graph (the y-intercept) is (0, 3)
Step 2:
Let x = 5 (or any other number)
and find y from the equation: y = -5 + 3 = -2
so another point on the graph is (5, -2)
Step 3:
Join the two points.
Done!
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3
y=3x+(3/2), so the slope is 3 or (3/1).
bend over and ill show you
The multiplication by 3 increases the magnitude, and the + 3 shifts the graph upward to be "centred" at y = 3. The graph now oscillates between 6 and 0 (3 + 3, 3 - 3).
A straight line, passing through the point (0,5) with a gradient of -3.