MHB Slope of y=-7 as x increases from 8 to infinity

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The discussion focuses on understanding the linear function represented by the equation y = mx + b, specifically with a slope of m = -7. As x increases by 1 unit, y decreases by 7 units, indicating a negative slope. The point (8, 3) is used to derive the function, leading to the conclusion that the slope m is indeed -7. The point-slope formula is also mentioned as a useful tool for solving linear equations. Overall, the conversation clarifies the relationship between the slope and the function's behavior as x approaches infinity.
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The function that passes through (8,3) and every time x increases by 1 unit, the fuction decreases by 7 units
 
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It's a linear function so it has the form $y=mx+b$. Can you find $m$ and $b$?
 
Is it stating that b is -7? I know y=mx+b but this question sounds so simple has me confused.
 
$m$ = $-7$. Do you see why $m=-7$? Can you solve it now?
 
Another formula for a line you may find useful here is the point-slope formula:

$$y=m\left(x-x_1\right)+y_1$$

where $\left(x_1,y_1\right)$ is a known point on the line and $m$ is the slope. :)
 
Thanks! Now I understand, def. noting both of your posts in my notepad :) This site is awesome!
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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