# What is the equation of the line between (-11,4) and (7,3)?

Jan 7, 2016

Equation is $y = - \frac{1}{18} x + \frac{61}{18}$

Slope $m = - \frac{1}{18}$

#### Explanation:

To write the equation of the line we need the following:

• Ordered pairs
• Slope $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

Given $\left(- 11 , 4\right) \mathmr{and} \left(7 , 3\right)$

Slope $\implies m = \frac{3 - 4}{7 - \left(- 11\right)}$

$\implies m = - \frac{1}{18}$

We can write equation of the line, using point slope formula
$y - {y}_{1} = m \left(x - {x}_{1}\right)$

$y - 4 = - \frac{1}{18} \left(x - \left(- 11\right)\right)$

$y - 4 = - \frac{1}{18} x + \frac{11}{18}$

Solve for $y$

$y = - \frac{1}{18} x + \frac{11}{18} + \frac{4}{1}$

$y = - \frac{1}{18} x + 4 \frac{11}{18}$

$y = - \frac{1}{18} x + \frac{61}{18}$