Find the slope of the straight line

4x = 5y + 3.

Here we have the straight line : 4x = 5y + 3

The slope intercept form is y = mx + b, where m is the slope and b is the y intercept.

Therefore, 4x = 5y + 3

⇒ –5y – 3 = –4x (Commutative law)

⇒ 5y + 3 = 4x (multiply by – on both sides of the equation)

⇒ (Divide both sides of the equation by 5)

⇒

⇒

Now we will rewrite it in the slope intercept form

Hence according to the slope intercept form, y = mx + b

m i.e. slope is .