Because we have been given the slope and y-intercept, we can create an equation in slope-intercept form.
y = mx + b
m = the slope
b = y-intercept.
In the first problem,
m = -4
b = 10
So, our equation looks like: y = -4x + 10
In the second problem,
m = 1/3
b = -6
So, our equation looks like: y = 1/3x - 6
Greetings!
The formula for the area of any triangle is as followed:

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<u>Let Statements:</u>
Let the variable...
→
represent the length of the base of the triangle
→
represent the length of the height of the triangle
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Using the information provided from the question, we can substitute its values in place of the variables and solve for the last remaining variable:

Distribute the parenthesis<em> (The Distributive Property) </em>:


Reduce the fraction to lowest terms:

Add -6 to both sides of the equation:


Divide both sides of the equation by 2:


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The Answer to this Problem is:

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I hope this helped!
-Benjamin
Answer:
Step-by-step explanation:
The points are plotted and the figure is a parallelogram with base and height both of 3 units long.
<u>The area is:</u>
Shown in the attached figure
<h2>
Explanation:</h2>
The absolute value function is a function that takes the shape of a V. The pattern of the absolute value function is:

So we need to use this function in order to obtain:

Recall that to translate a function vertically, we use the following rule:

And to translate a function horizontally, we use the following rule:

Since:

Then:
<em>g(x) is the translation of f(x) 2 units to the left and 4 units down</em>
<em />
<h2>
Learn more:</h2>
Transformations in real-world problems: brainly.com/question/1033817
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