the slope of the line 2x + 3y - 1 = 0 is
Answers
Answer:
slope= -2/3
Step-by-step explanation:
2x+3y-1=0
2x+3y=1
3y=1-2x
y=(1-2x)/3
y= 1/3 - 2x/3
also, we know- y= c+mx
so, here after comparing, m= -2/3
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Given:
2x + 3y - 1 = 0
To find:
The slope of the line
Solution:
The slope of the line is -2/3.
We can find the slope by following the given steps-
We are given the equation of a line as follows-
2x + 3y - 1 = 0
We know that to find the slope, we need to convert the given equation into the form: y=mx+b, where m is the slope of the line.
We will represent the given equation in the above-mentioned form to determine the slope.
2x+3y-1=0
2x+3y=1
3y=1-2x
Dividing both sides by 3,
3y/3=(1-2x)/3
y=1/3-2x/3
On comparing the equation with y=mx+b,
m=(-2/3)
So, the slope of the line= -2/3
Therefore, the slope of the line is -2/3.