Find the slope of the line that is parallel to the graph of 2x+3y=5

slope = -

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y = 5 ( subtract 2x from both sides )

3y = - 2x + 5 ( divide terms by 3 )

y = - x + ← in slope- intercept form

with slope m = -

Parallel lines have equal slopes

Then slope of parallel line is -

slope is -2/3

Step-by-step explanation:

General form of a straight line :- y = mx + c

Here , 2x + 3y = 5

3y = -2x + 5

so comparing the given equation with general form we get

and required line is parallel to given line so required slope is -2/3

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