Question

Please help!!

Answer 1

Answer:

$\displaystyle w=\frac{9}{2}=4.5$

Step-by-step explanation:

We can use slope formula:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

So:

$\displaystyle m=\frac{4-w}{-10-(-6)}=\frac{4-w}{-10+6}=\frac{4-w}{-4}$

We are given that this equals 1/8. Therefore:

$\displaystyle \frac{4-w}{-4}=\frac{1}{8}$

Solve for w. Cross-multiply:

$-4(1)=8(4-w)$

Distribute:

$-4=32-8w$

Isolate:

$-8w=-36$

So:

$\displaystyle w=\frac{-36}{-8}=\frac{9}{2}=4.5$