1. Mrfootballman97

Find the slope of (a) |dw:1365962439060:dw| 1. A(-2, 0) and B(4,4)

2. Mrfootballman97

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

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

4. Mrfootballman97

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

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

6. Mrfootballman97

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

7. Mrfootballman97

and then you divide right?

8. Mrfootballman97

so is 0.6666666667 2/3?

9. Mrfootballman97

10. Mrfootballman97

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

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$\huge m_{l}m_{AB}=-1$