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

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SUMMARY

The discussion centers on the linear function defined by the slope of y = -7 as x increases from 8 to infinity. The slope (m) is confirmed to be -7, indicating that for every unit increase in x, y decreases by 7 units. The point-slope formula, y = m(x - x1) + y1, is also referenced to help derive the equation of the line. The point (8, 3) is used to establish the relationship between x and y in this linear function.

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  • Basic knowledge of slope-intercept form (y = mx + b)
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rootbarb
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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!
 

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