# How do you write the equation in point slope form given Point: (7, 4); Slope: 6?

Jul 20, 2016

$y = 6 x - 38$

#### Explanation:

When working with equations of straight lines, there is really nifty formula which applies in a case like this. We are given a slope and one point and need to find the equation of the line.

$\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$ where the given point is $\left({x}_{1} , {y}_{1}\right)$

Substitute the values given.$\left(7 , 4\right) \mathmr{and} m = 6$

$y - 4 = 6 \left(x - 7\right) \text{ }$ multiply out and simplify:

$y = 6 x - 42 + 4$

$y = 6 x - 38$