Complete the equation of the line through (2, 1) and (5, -8). Use exact numbers.

y-y0=m(x-x0) =>

y-5=10/3(x-2)=>

y-5=10/3x-20/3=>

y=10/3x-5/3

m=-8-2/5-2=>m=10/3

y = - 3x + 7

Step-by-step explanation:

( 2 , 1 )

( 5 , - 8 )

m = ( - 8 - 1 ) / ( 5 - 2 ) = - 3

y - 1 = - 3 ( x - 2 )

y = - 3x + 7

8

step-by-step explanation:

this is a subtraction problem.

10 - 2 = 8

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c