How do you write an equation in point-slope form for the given (5, 1), (0, -6)?

Jun 18, 2018

color(indigo)((y - 1) = (7/5) (x - 5) is the required point-slope form.

Explanation:

Given two points are $\left(5 , 1\right) , \left(0 , - 6\right)$

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

$\frac{y - 1}{- 6 - 1} = \frac{x - 5}{0 - 5}$

$\left(y - 1\right) = \left(- \frac{7}{-} 5\right) \cdot \left(x - 5\right)$

$\left(y - 1\right) = \left(\frac{7}{5}\right) \left(x - 5\right)$ is the required point-slope form.