Mathematics: Which is the equation of a line with a slope of -1/3 and a y intercept at (0,1)

Which is the equation of a line with a slope of -1/3

willveloz4

02.01.2022

The required equation of the line is x+3y=3.

Step-by-step explanation: We are given to find the equation of a line with slope $-\dfrac{1}{3}$ and y-intercept (0, 1).

We know that

the equation of a line with slope m and y-intercept (0, c) is given by

y=mx+c~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

From the given information, we have

$\textup{slope, }m=-\dfrac{1}{3},\\\\\textup{y-intercept, }(0,c)=(0,1)~~~\Rightarrow c=1.$

Therefore, from equation (i), we get

$y=mx+c\\\\\Rightarrow y=-\dfrac{1}{3}x+1\\\\\Rightarrow 3y=-x+3\\\\\Rightarrow x+3y=3.$

Thus, the required equation of the line is x+3y=3.

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ellieflores8400

09.10.2021

3.30693 pounds

This can also be simplified to 3.3 pounds or just 3 pounds.

I hope this helps :)

Have a nice day

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