Answer:
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] ) point - slope form of a line.
y = mx + b slope- intercept form of a line.
~~~~~~~~~~~~~~~~~
( - 2, - 7 )
( 0, - 4 )
m = [tex]\frac{- 4 - (-7)}{0 - (- 2)}[/tex] = [tex]\frac{3}{2}[/tex]
y - ( - 4 ) = [tex]\frac{3}{2}[/tex] ( x - 0 )
y + 4 = [tex]\frac{3}{2}[/tex] x
y = [tex]\frac{3}{2}[/tex] x - 4 slope- intercept form
3x - 2y = 8 standard form
