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

Jul 21, 2016

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

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

Subtracting,

$2 = - m$

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

$9 = 5 \times \left(- 2\right) + c$

so that $c = 19$.