Given that the line 2x - 3y - 10=0 passes through the point (t, 4), find the value of t?
2 Answers | Add Yours
`2x-3y-10 = 0`
(t,4) mus satisfy the equation.
`2t-3xx4 -10 = 0`
`2t - 12-10 = 0`
`2t = 22`
`t = 11`
The problem provides the information that the point `(t,4)` lies on the line `2x-3y-10=0` , hence, you need to substitute t for x and 4 for y in the equation of line such that:
`2t-3*4-10 = 0`
You need to solve for t the equation `2t - 12 - 10 = 0` such that:
`2t = 22 =gt t = 11`
Hence, evaluating the value of x coordinate of the point that lies on the given line yields t=11.
Join to answer this question
Join a community of thousands of dedicated teachers and students.Join eNotes