How do you graph #y=3/2 x + 3#?
Start with the point ( 0 + 3) then go up 2 and over 3 to point ( 3,5) connect the dots.
The equation is in the slope intercept form which makes this easy
where m = the slope ( think mountain ski slope) and b = the y intercept ( think beginning.)
Start at b the beginning
b = ( 0 +3) b is the y intercept where x = 0 and y = 3
this gives the second point ( 3,5)
plot the two points and connect the dots with a line, The graph of the equation is done.
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Convert the equation to standard form
Graph:
You need two points to graph a straight line. The x and yintercepts are easiest to find, especially when the equation is in standard form.
Plot the x and yintercept and draw a straight line through them.
graph{y=3/2x+3 [10, 10, 5, 5]}
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To graph the equation ( y = \frac{3}{2}x + 3 ):

Identify the yintercept: The yintercept occurs when ( x = 0 ). Substitute ( x = 0 ) into the equation to find the yintercept, which is ( (0, 3) ).

Identify the slope: The coefficient of ( x ) represents the slope. In this case, the slope is ( \frac{3}{2} ).

Use the slope and yintercept to plot a second point: Starting from the yintercept, move up 3 units (since the numerator of the slope is 3) and then move right 2 units (since the denominator of the slope is 2) to find a second point, which is ( (2, 6) ).

Plot the two points ( (0, 3) ) and ( (2, 6) ) on the coordinate plane.

Draw a straight line passing through the two points to represent the graph of the equation.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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