Question

(10,y) and (3,4) m"-2/7​

Answer 1

For this case we have to by definition, given two points through which a line passes:

`(x_ {1}, y_ {1})` and
`(x_ {2}, y_ {2})`

We can find the slope using the following formula:

`m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}`

In this case we have the slope and we must find the "y" coordinate of one of the points.

We have:

`(x_ {1}, y_ {1}): (3,4)\\(x_ {2}, y_ {2}) :( 10, y)\\m = - \frac {2} {7}`

Substituting we have:

`m = \frac {y_ {2} -4} {10-3} = \frac {y-4} {7}`

So:

`- \frac {2} {7} = \frac {y-4} {7}\\\frac {-2} {7} = \frac {y-4} {7}`

Thus:

`y_ {2} -4 = -2\\y_ {2} = - 2 + 4\\y_ {2} = 2`

Thus, the "y" coordinate of point 2 is: 2

Answer:

`y_ {2} = 2`