SOLUTION: How do I draw a graph for y = 3 x + 1

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Question 394986: How do I draw a graph for y = 3 x + 1
Found 2 solutions by MathLover1, ewatrrr:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: Graphing Linear Equations


1%2Ax%2B2%2Ay=3Start with the given equation



2%2Ay=3-1%2Ax Subtract 1%2Ax from both sides

y=%281%2F2%29%283-1%2Ax%29 Multiply both sides by 1%2F2

y=%281%2F2%29%283%29-%281%2F2%29%281%29x%29 Distribute 1%2F2

y=3%2F2-%281%2F2%29x Multiply

y=%28-1%2F2%29%2Ax%2B3%2F2 Rearrange the terms

y=%28-1%2F2%29%2Ax%2B3%2F2 Reduce any fractions

So the equation is now in slope-intercept form (y=mx%2Bb) where m=-1%2F2 (the slope) and b=3%2F2 (the y-intercept)

So to graph this equation lets plug in some points

Plug in x=-9

y=%28-1%2F2%29%2A%28-9%29%2B3%2F2

y=9%2F2%2B3%2F2 Multiply

y=12%2F2 Add

y=6 Reduce

So here's one point (-9,6)





Now lets find another point

Plug in x=-7

y=%28-1%2F2%29%2A%28-7%29%2B3%2F2

y=7%2F2%2B3%2F2 Multiply

y=10%2F2 Add

y=5 Reduce

So here's another point (-7,5). Add this to our graph





Now draw a line through these points

So this is the graph of y=%28-1%2F2%29%2Ax%2B3%2F2 through the points (-9,6) and (-7,5)


So from the graph we can see that the slope is -1%2F2 (which tells us that in order to go from point to point we have to start at one point and go down -1 units and to the right 2 units to get to the next point), the y-intercept is (0,1.5) ,or (0,3%2F2), and the x-intercept is (3,0) . So all of this information verifies our graph.


We could graph this equation another way. Since b=3%2F2 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,3%2F2).


So we have one point (0,3%2F2)






Now since the slope is -1%2F2, this means that in order to go from point to point we can use the slope to do so. So starting at (0,3%2F2), we can go down 1 units


and to the right 2 units to get to our next point



Now draw a line through those points to graph y=%28-1%2F2%29%2Ax%2B3%2F2


So this is the graph of y=%28-1%2F2%29%2Ax%2B3%2F2 through the points (0,1.5) and (2,0.5)

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

 graphing

 y = 3x + 1

I.  finding three points on the line:(1,4),(-1,-2) and (0,1)









II. Graphing y = 3x + 1 by Plotting these points and connecting with a Line