Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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

Sagot :

Answer:

slope = - [tex]\frac{2}{3}[/tex]

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 = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{5}{3}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

Parallel lines have equal slopes

Then slope of parallel line is - [tex]\frac{2}{3}[/tex]

janhavi11

Answer:

slope is -2/3

Step-by-step 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

[tex]y = \frac{ - 2x + 5}{3} [/tex]

[tex]y = \frac{ - 2x }{3} + \frac{5}{3} [/tex]

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

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.