Respuesta :
Answer:
y =3x+10
Step-by-step explanation:
[tex]\mathrm{Line\:passing\:through\:}\left(1,\:13\right)\mathrm{,\:}\left(-2,\:4\right)\\\\(1,13)=(x_1,y_1)\\(-2,4) = (x_2,y_2)\\\\\frac{y-13}{x -1} = \frac{4-13}{-2-1}\\ \\\frac{y-13}{x-1} = \frac{-9}{-3}\\\\ -3(y-13)=-9(x-1)\\\\-3y +39 =-9x +9\\\\-3y =-9x+9-39\\\\-3y =-9x -30\\\\\frac{-3y}{-3} = \frac{-9x}{-3} - \frac{30}{-3} \\\\y = 3x+10[/tex]
Answer:
y - 4 = 3 ( x + 2 )
Step-by-step explanation:
so ,
( 1 , 13 ) and ( - 2 , 4 )
x1 y1 x2 y2
formulae of slope m is y2-y1
over
x2-x1
4-13
/
-2-1
-9/-3
therefore m=3
now to get the equation of line is
y-y1=m(x-x1)
y - 13 = 3 ( x - 1 )
y - 13 = 3 x - 3
y = 3 x - 3 + 13
y = 3 x + 10
y - 4 = 3 x + 6
y - 4 = 3 ( x + 2