Respuesta :
Hi there!
The general equation of a slope-intercept line looks like this :
y = mx + b
Where "m" is the slope and "b" is the y-intercept.
First you need to isolate the y in your equation in order to have the right slope-intercept form :
6x + 10y = 8
Subtract 6x from each side of the equation
10y = 8 - 6x
Divide each side of the equation by 10
y = 0.8 - [tex]\frac{6x}{10}[/tex]
y = 0.8 - [tex]\frac{3x}{5}[/tex]
y = -[tex]\frac{3}{5}x[/tex] + 0.8
Now that you have your right form of equation, you can easily see that the slope is -[tex]\frac{3}{5}[/tex].
There you go! I really hope this helped, if there's anything just let me know! :)
The slope of the line 6x+10y=8 is -3/5 unit
What is general equation of line ?
We know that the general equation of line is y=mx+c
where m is the slope of the line.
Example : y = 4x-5, where m = slope = 4
What is the required slope ?
Given equation is 6x+10y=8
We have to convert it into general form of line.
So, 6x+10y=8
⇒ 10y = -6x+8
⇒ y = -6x/10 +8/10
⇒ y = -3x/5+4/5
Comparing it with y = mx+c we get m = -3/5
Learn more about slope here :
https://brainly.com/question/27877215
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