Respuesta :

Answer:

The equation of line P with slope [tex]\frac{5}{2}[/tex] and points ( 6 , 12 ) is  y = [tex]\frac{5}{2}[/tex] x - 3  .  

Step-by-step explanation:

Given as :

The slope of the line P is [tex]\frac{5}{2}[/tex]

The line P passes through point ( 6 , 12 )

Now, Equation of line in slope intercept form can be written as :

[tex]y-y_1 = m( x - x_1)[/tex]

Or, y-12 = [tex]\frac{5}{2}[/tex] ( x - 6)

Or ,  y - 12 = [tex]\frac{5}{2}[/tex] x -  [tex]\frac{5}{2}[/tex] × 6

O y - 12 =  [tex]\frac{5}{2}[/tex] x - 15

Or, y = [tex]\frac{5}{2}[/tex] x - 15 + 12

∴    y = [tex]\frac{5}{2}[/tex] x - 3

Hence The equation of line P with slope [tex]\frac{5}{2}[/tex] and points           ( 6 , 12 ) is  y = [tex]\frac{5}{2}[/tex] x - 3  .  Answer

Answer:

y=5/2x-3

Step-by-step explanation:

y-y1=m(x-x1)

y-12=5/2(x-6)

y=5/2x-30/2+12

y=5/2x-15+12

y=5/2x-3

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