# How do you write the equation in point slope form given (5,-2) m=3?

Apr 25, 2016

y = 3x - 17

#### Explanation:

The equation of a line in point-slope form is y = mx + c

where m represents the gradient (slope) and c , the y-intercept.

here m = 3 → partial equation is y = 3x + c

To find c , use the point (5 , -2) and substitute into the partial equation.

x = 5 , y = -2 gives : 3(5) + c = -2 → 15 + c = -2 → c = -17

$\Rightarrow \textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{y = 3 x - 17} \textcolor{w h i t e}{\frac{a}{a}} |}}} \text{ is the equation}$