What is 3x-2y=24 in slope intercept form??
1 answer:
Answer: 3x-2y=24 in slope intercept form is
The graph of the equation is in the attachment
Step-by-step explanation: Slope intercept form is y = mx + b
m is the slope b is the y-intercept x is the "input" in the equation y is the "output" or the y-value in the graph for a given x-value.
You need to rearrange the standard form to slope-intercept to isolate y on the left side of the equation.
3x - 2y = 24 Standard form. Subtract 3x from both sides.
-2y = -3x + 24 divide both sides by -2
-2y/-2 = -3x/-2 + 24/-2 . Simplify.
y = 3x/2 - 12 .
To clarify the slope as a fraction
You might be interested in
Answer:
Volume of rectangular prism = 10/9 inch³
Step-by-step explanation:
Given:
Size of each cube = 1/3 inch
Find:
Volume of rectangular prism
Computation:
Length of rectangular prism = 2 x [1/3]
Length of rectangular prism = 2/3 inch
Width of rectangular prism = 3 x [1/3]
Width of rectangular prism = 3/3
Width of rectangular prism = 1 inch
Height of rectangular prism = 5 x [1/3]
Height of rectangular prism = 5/3 inch
Volume of rectangular prism = Length x Width X Height
Volume of rectangular prism = [2/3] x [1] x [5/3]
Volume of rectangular prism = 10/9 inch³
By inspection, it's clear that the sequence must converge to 
because
when
is arbitrarily large.
Now, for the limit as
to be equal to is to say that for any 
, there exists some 
such that whenever 
, it follows that
From this inequality, we get
As we're considering, we can omit the first inequality.
We can then see that choosing
will guarantee the condition for the limit to exist. We take the ceiling (least integer larger than the given bound) just so that 
.
when
Now, for the limit as
From this inequality, we get
As we're considering
We can then see that choosing