Question

The points (-5, 5) and (5, u) fall on a line with a slope of 3/10 What is the value of u?

Thank you!

Answer 1

Explanation:

(u - 5)/(5 + 5)= 3/10

(u - 5)/10= 3/10

10u - 50 = 30

10u = 80

u = 8

Answer 2

u = 8

Explanation:

calculate the slope of the line passing through the 2 give points using the slope formula, then equate to the given slope.

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 5, 5 ) and (x₂, y₂ ) = (5, u )

m =
`(u-5)/(5-(-5))` =
`(u-5)/(5+5)` =
`(u-5)/(10)` , then equating the 2 expressions gives

`(u-5)/(10)` =
`(3)/(10)` ( cross- multiply )

10(u - 5) = 30 ( divide both sides by 10 )

u - 5 = 3 ( add 5 to both sides )

u = 8