Answer: The slope is −2/3
Step-by-step explanation:
2
x
+
3
y
=
12 is the standard form for a linear equation. To determine the slope, solve the equation for y in order to convert to the slope-intercept form y
=
m
x
+
b
, where m is the slope and b is the y-intercept.
2
x
+
3
y
=
12
Subtract 2
x from both sides.
3
y
=
−
2
x
+
12
Divide both sides by
3
.
y
=
−
2
/3
x
+
12
/3
=
y
=
−
2
/3
x
+
4
The slope is
−
2
/3
The following coordinates represent a parallelogram.
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>
In this problem the given line represent a proportional relationship, because passes through the origin
we have
---> the constant of proportionality k is equal to the slope
substitute
The linear equation is

To draw a line we need two points
we have (0,0)
To find the other point
assume x=3 and substitute in the equation to solve for y

so
The other point is (3,4)
using a graphing tool
Plot the points (0,0) and (3,4)
To graph the line join the points
see the attached figure
In this situation, it is similar to a coin flip, so think about flipping a 2 sided chip, one side colored yellow the other blue, flipping the chip will result in a 50/50 chance for it to land on either side, so no matter how many times you flip it it will always be a 1/2 chance of it being on one of the sides
Answer:
x < 3
Step-by-step explanation:
When you multipy an inequality by a negative, remember to switch the inequality sign!
-x > -3
(-x)(-1) > (-3)(-1)
x < 3
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