geometry homework help problem? urgent!!!!

Question

Is the line through points P (0,6) and Q (-1,8) parallel to the line through points R (3,3) and S(5,-1)?

Answer 1

The line through points (x1, y1) and (x2, y2) passing slope (m) , the line equation is y - y1=m (x - x1)

The points is P (0, 6) and Q (-1 , 8 )

The slope m1 = y2 -y1/ x2 -x1

m1= 8 - 6/ -1 - 0

m1= 2 / -1

m1 = -2

Line equation is y - y1=m1 (x - x1)

y - 6 = -2 (x - 0)

y - 6 = - 2x

y +2x  = 6

The points is R (3, 3) and S(5 , -1 )

The slope m2 = y2 -y1/ x2 -x1

m2= -1 - 3/ 5 - 3

m2= -4 / 2

m2= -2

Line equation is y - y1=m2 (x - x1)

y - 3 = -2 (x - 3)

y - 3 = - 2x + 6

y  +2x = 9

m1 = m2

This lines are parallel .

Comments

thank you :)

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pls show the graph

Answer 2

Graph for the equation y=2x+6 and y=2x+9

     i hope it helps