# How do you find the y intercept of (5,7),(6,8)?

Sep 3, 2016

Intercept on $y$-axis is $2$.

#### Explanation:

Equation of the line joining $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ is given by

$\frac{y - {y}_{1}}{{y}_{2} - {y}_{1}} = \frac{x - {x}_{1}}{{x}_{2} - {x}_{1}}$

Hence equation of line joining $\left(5 , 7\right)$ and $\left(6 , 8\right)$ is

$\frac{y - 7}{8 - 7} = \frac{x - 5}{6 - 5}$ or

$\frac{y - 7}{1} = \frac{x - 5}{1}$ or

$y - 7 = x - 5$ or $y = x + 2$

As the equation is already in slope intercept form, slope of line is $1$ and intercept on $y$-axis is $2$.