Respuesta :
Answer: y = 3x/2 + 5/2
Step-by-step explanation:
Write the slope formula m = y2 - y1
x2 - X1
Substiue { x1 = 2
{ x2 = -4 Into m =3 - (-1)
{ y1 = -1 -4 - 2
{ y2 = - 3
Calculate and you get m = -2/3
Slope of the line that is perpendicular to m = -2/3 is m = 3/2
Substitute it: ( 2 - 4 -1 + 3 )
2 2
Calculate it 2 - 4
2
Simplify -2/2 and you get -1
Calculate -1 + 3
2
Simplify it 2/2 and you get 1
Rewrite solutions as coordinates: (-1 , 1)
Substitute { m = 3/2
{ x = -1
{y = 1
y = mx + b
Calculate 1 = 3/2 x (-1)= b and you get b = 5/2
Lastly Substitute { m = 3/2 into y = mx + b
{ b = 5/2
Answer: y +3x/2 + 5/2
