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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.)

Find an equation of the line having the given slope and containing the given point m 6 59 The equation of the line is y Simplify your answer Type your answer in class=

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Answer:

[tex]y = -6x + 39[/tex]

Step-by-step explanation:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

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 [tex]y = -6x + b[/tex]

Contains point (5,9):

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

[tex]y = -6x + b[/tex]

[tex]9 = -6(5) + b[/tex]

[tex]b = 39[/tex]

So

[tex]y = -6x + 39[/tex]

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