Question

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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​

Answer 1

Step-by-step explanation:

Here,

$5y = 4x - 12 - 10$

$y = \frac{4}{5} x - \frac{22}{5}$

slope is 4÷5

Answer 2

Answer:

The answer is option B

Step-by-step 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