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What is the slope of the line? 5(y+2)=4(x-3)
A 2/3
B 4/5
C 5/4
D 3/2​

User Edilia
by
5.6k points

2 Answers

2 votes

Explanation:

Here,


5y = 4x - 12 - 10


y = (4)/(5) x - (22)/(5)

slope is 4÷5

User VyvIT
by
5.3k points
4 votes

Answer:

The answer is option B

Explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

5(y+2)=4(x-3)

To find the slope first expand the terms in the equation

That's

5y + 10 = 4x - 12

Write the equation in the form y = mx+ c

That's

5y = 4x - 12 - 10

5y = 4x - 22

Divide both sides by 5 to make y stand alone

y = 4/5x - 22/5

Comparing with the general equation above the slope of the line is

4/5

Hope this helps you

User Bhargav Rao
by
5.3k points