Question

Medal given! Please help me answer:

Answer 1

Find the slope of (a)

1. A(-2, 0) and B(4,4)

Answer 2

I guess just find the slope of A(-2,0) and B(4,4)

Answer 3

\[\huge slope_{AB}=\frac{y_B-y_A}{x_B-x_A}\]

Answer 4

The answer is 2/3. How do they get this?

Answer 5

if you use the formular on top taking the difference in y coordinates and the differnce in the x cordintaes you get the slope-

Answer 6

So YB is 4 right? so i 4-0=4. and then for x its, 4-(-2)= 6. So 4/6?

Answer 7

and then you divide right?

Answer 8

so is 0.6666666667 2/3?

Answer 9

@Jonask

Answer 10

So now that i know the slope is 2/3, how can i tell if anything is parallel to line AB? And then how can i tell what is perpendicular to line AB

Answer 11

parrallel means same slope
so if a line \[l\]
is parrallel and its gradient (slope)is
\[\huge m_l\]
then \[\huge m_l=m_{AB}\]
for perpendicular\[\huge m_{l}m_{AB}=-1\]