# What is the equation in point-slope form and slope intercept form for the line given (-5,-4) (7,-5)?

May 27, 2018

Point - Slope form of equation is color(maroon)(y + 4 = -(1/12) * (x + 5)

Slope-Intercept form of equation is

color(green)(y = -(1/12) x - (53/12)

#### Explanation:

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

$\left({x}_{1} , {y}_{1}\right) = \left(- 5 , - 4\right) , \left({x}_{2} , {y}_{2}\right) = \left(7 , - 5\right)$

Slope $= \frac{- 5 + 4}{7 + 5} = - \left(\frac{1}{12}\right)$

Point - Slope form of equation is

$\left(y - {y}_{1}\right) = m \cdot \left(x - {x}_{1}\right)$

color(maroon)(y + 4 = -(1/12) * (x + 5)

Slope-Intercept form of equation is

$y = m x + c$, where m is the slope and c is the y-intercept.

$y = - \left(\frac{1}{12}\right) \cdot \left(x + 5\right) - 4$

$y = - \left(\frac{1}{12}\right) x - \frac{5}{12} - 4$

color(green)(y = -(1/12) x - (53/12)