# How do you find a standard form equation for the line with Slope 5; through (-3, -9)?

May 16, 2016

y = 5x + 6

#### Explanation:

The equation of a line in $\textcolor{b l u e}{\text{ slope-intercept form ""is}}$

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{y = m x + b} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
where m represents the slope and b, the y-intercept.

here the slope is 5 and so the partial equation is y = 5x + b

To find b , substitute (-3 ,-9) into the partial equation.

x = -3 , y = -9: hence -9 = 5(-3) + b → -9 = - 15 + b → b = 6

Thus the equation is y = 5x + 6