Answer:
Step-by-step explanation:
subtract 2x from both sides of the equation
-3y=-2x+5
Divide each by -3 and simplify
- 3y/-3=-2x/-3+5/-3
reduce and cancel the common numbers
move the negative over from the denominator
-(-1*y)= - 2x/-3 +5/-3
simplify
- -2x/3
multiply 2x/3 by 1
y=2x/3+5/-3
move the negative in front of fraction
y=2x/3 -5/3
slope intercept form
y=2/3 x -5/3
the slope is 2/3
Answer:
[tex]\large\boxed{\text{The slope}\ m=\dfrac{2}{3}}[/tex]
Step-by-step explanation:
The slope-intercept form of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the standard form of a line:
[tex]2x-3y=5[/tex]
Convert to the slope-intercept form:
[tex]2x-3y=5[/tex] subtract 2x from both sides
[tex]-3y=-2x+5[/tex] divide both sides by (-3)
[tex]y=\dfrac{-2}{-3}x+\dfrac{5}{-3}\\\\y=\dfrac{2}{3}x=-\dfrac{5}{3}\to m=\dfrac{2}{3}[/tex]
