Question

Find an equation of the line having the given slope and containing the given point.

Answer 1

Answer:

$y = -6x + 39$

Step-by-step explanation:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept(value of x when y = 0).

We have that the slope is m = -6:

So $y = -6x + b$

Contains point (5,9):

This means that when $x = 5, y = 9$. We replace this into the equation to find b. So

$y = -6x + b$

$9 = -6(5) + b$

$b = 39$

So

$y = -6x + 39$