Question

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

m= -6, (5,9)
The equation of the line is y =
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression.)

Answer 1

`y = -6x + 39`

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`