Answer :
2x - 3y = -9 is equation of line which passes through slope 2/3.
Describe slope using an example?
- The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope.
- B is the b in the location where the y-intercept is located (0, b). For instance, the slope and y-intercept of the equation y = 3x - 7 are 3 and 0, respectively.
m = [tex]\frac{y{2} - y{1} }{x{2} - x{1} }[/tex]
put x₁ = 3 , x₂ = -3 , y₁ = 3 and y₂ = -1
m = [tex]\frac{-1 - 3}{-3 - 3}[/tex]
m = [tex]\frac{-4}{-6}[/tex]
m = 2/3
The line that passes through (3, 5) =
⇒ y - y₁ = m( x - x₁)
⇒ y - 5 = 2/3 ( x - 3)
⇒ 3( y - 5 ) = 2 ( x - 3 )
⇒ 3y - 15 = 2x - 6
⇒ 2x - 3y = -15 + 6
⇒ 2x - 3y = -9
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