Respuesta :

Answer:

The equation of line passing through point ( 8 , - 2 ) and having slope 3 is  y = 3 x - 26  .

Step-by-step explanation:

Given as :

The slope of a line = m = 3

The line is passing through point [tex]x_1[/tex] ,  [tex]y_1[/tex] = ( 8 , - 2 )

Now, Equation of line in slope-point form

i.e y - [tex]y_1[/tex] = m × ( x - [tex]x_1[/tex] )

Or, y - ( - 2) = m × ( x - 8 )

Or, y + 2 = 3 × ( x - 8 )

Or, y + 2 = 3 × x - 3 × 8

Or, y + 2 = 3 x - 24

Or, y = 3 x - 24 - 2

∴   y = 3 x - 26

So, The equation of line  y = 3 x - 26

Hence, The equation of line passing through point ( 8 , - 2 ) and having slope 3 is  y = 3 x - 26  . Answer