Question

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

Answer 1

slope is -2/3

Explanation:

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

Where , x and y are order pairs or coordinates.

m is slope of the line

c is y intercept.

Also,if the is line L2 with slope m2 is parallel with line L1 which has slope m1 then,

• m1 = m2

Here , 2x + 3y = 5

3y = -2x + 5

`y = ( - 2x + 5)/(3)`

`y = ( - 2x )/(3) + (5)/(3)`

so comparing the given equation with general form we get

slope (m ) = (-2/3)

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

Answer 2

slope = -
`(2)/(3)`

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 = -
`(2)/(3)` x +
`(5)/(3)` ← in slope- intercept form

with slope m = -
`(2)/(3)`

Parallel lines have equal slopes

Then slope of parallel line is -
`(2)/(3)`