Question

Please help!!

The slope of a line that passes through the points (-6, w) and (-10, 4) ls 1/8. What is the
value of w?

Answer 1

`\displaystyle w=(9)/(2)=4.5`

Explanation:

We can use slope formula:

`\displaystyle m=(y_2-y_1)/(x_2-x_1)`

So:

`\displaystyle m=(4-w)/(-10-(-6))=(4-w)/(-10+6)=(4-w)/(-4)`

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

`\displaystyle (4-w)/(-4)=(1)/(8)`

Solve for w. Cross-multiply:

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

Distribute:

`-4=32-8w`

Isolate:

`-8w=-36`

So:

`\displaystyle w=(-36)/(-8)=(9)/(2)=4.5`