Question

What is the Y intercept of the points (5,9) (6,7)?

Answer 1

19

Explanation:

I assume that you mean "What is the `Y` intercept of the line joining (5,9) and (6,7)?"

We start by writing down the equation of a straight line
`y= m x+c`
here `m` is the slope and `c` is the `Y` intercept.

Since (5,9) and (6,7) are on this line, we have

`9 = 5m+c`
`7 = 6m+c`

Subtracting,

`2 = -m`

Putting this back in any one of the equations, we get

`9 = 5 xx (-2) +c`

so that `c=19`.