The slope of the line with equation - 6y = 2x + 7 is - 1/3.
The slope of a line is the rise-to-run ratio or the rise divided by the run. It gives information about a line's slope in the coordinate plane.
The general equation of a straight line is y = mx +c where m is the slope of the line.
Now,
Consider the equation of the line,
- 6y = 2x + 7
Dividing each side of the equation by 6.
( - 6y/ 6 ) = ( 2x / 6 ) + ( 7/6 )
- y = x/ 3 + 7/ 6
Multiplying each side of the equation by - 1,
- y × - 1 = x/ 3 × -1 + 7/ 6 × - 1
y = - x/3 - 7/6
y = - (1/3) × (x) - 7/6
Now comparing the equation with the general equation y = mx + c.
We get, the slope of the line as:
m = - 1/3
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