Question

A line has a slope of 2 and includes the points (

–
7,
–
10) and (0,j). What is the value of j?

Answer 1

j = 4

Explanation:

calculate the slope of the line passing through the goven points and equate to 2

calculate slope m using the slope formula

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

with (x₁, y₁ ) = (- 7, - 10 ) and (x₂, y₂ ) = (0, j )

m =
`(j-(-10))/(0-(-7))` =
`(j+10)/(0+7)` =
`(j+10)/(7)` then equating gives

`(j+10)/(7)` = 2 ( multiply both sides by 7 to clear the fraction )

j + 10 = 14 ( subtract 10 from both sides )

j = 4